:)

Investor Relations: Disclosures
Holdings and Interests of the Columbia Concert Party Group. As at the date hereof, the Columbia Concert Party Group holds or is interested in: 5,427,022,872 Shares ...
eunetworks.listedcompany.com/disclosures.html - Cached
Real Estate | Business Services | Finance and Administration ...
Real Property Holdings and Interests Report. Annually, UM Business Services produces a report of current real estate owned by the University, by campus as of July 1.
www.umsystem.edu/ums/fa/management/business/realestate - Cached
City Site Estates plc: quotes & news - Google Finance
Its holdings and interests include office, residential, and retail properties, primarily in London, Edinburgh, and Glasgow. It also invests in hotel properties including ...
www.google.co.uk/finance?cid=2340983 - Cached
iCENSA Holdings, Inc.
iCENSA aims to expand farther its global holdings and interests, maintaining its high standard of service and continuously strengthening its business foundation in New ...
icensa.com - Cached

That's all I would dare, unless the intérêt turns out to be participation in management... but we can't see that from the snippet provided.

From Larousse FR-EN online:
prise de participation [économie] acquisition of holdings
http://www.larousse.com/en/dictionaries/french-english/prise...

From Reverso EN-EN:
If a company or business person makes an acquisition, they buy another company or part of a company. (BUSINESS)
http://dictionary.reverso.net/english-cobuild/acquisition

In principle, in this context (one company buying stakes in other companies), "participating interests" are equity interests in other companies above some threshold of significance, say 5% or 10%.

In practice, because interests >50% usually require consolidation treatment (subsidiaries), and interests between 20% and 50% usually require equity method accounting (associates), companies not infrequently use this term for *other* participating interests, i.e. above the threshold of significance but below the associate level; thus, you will see some companies list "subsidiaries, associates, and participating interests". Here it doesn't matter.

The "other interests" would presumably be equity or equity-like interests as well, possibly including things like warrants. Again, it doesn't really matter for the translation what they are.

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Note added at 1 day14 hrs (2012-04-10 09:16:55 GMT)
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Well, "directe ou indirecte, sous quelque forme que ce soit" pretty much says that the other interests can be anything at all, including debt (claims on the target company), loans (to the target), assignable contracts (with the target) and so on. Anything that would make the company a related party vis à vis another business.