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AIME 1995 Problem 4

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Circles of radius 33 and 66 are externally tangent to each other and are internally tangent to a circle of radius 99. The circle of radius 99 has a chord that is a common external tangent of the other two circles. Find the square of the length of this chord.

Dataset text AIME 1983 to 2026. Quoted with source.

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