Danaher Corp. agreed to acquire Nobel Biocare Holding AG for $2.2 billion after the Swiss maker of dental implants searched for a buyer amid a wave of consolidation in the health industry.

Danaher will pay 17.10 Swiss francs a share in cash, and the purchase will make it the world’s largest maker of such implants, the Washington-based company said in a statement today. While 5.5 percent less than the closing price Sept. 12, the offer is 23 percent higher than Nobel Biocare’s closing price July 28, the day before Bloomberg News reported that the Glattbrugg-based company was considering a sale. The stock fell as much as 6.1 percent.

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