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Finding the Third Proportional to 61,085,942 and 131,736,256

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Solution

The third proportional to 61,085,942 and 131,736,256 is: 284,098,772.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,085,942 : 131,736,256 = 131,736,256 : x
  2. Step 2: Convert to fraction form
    61,085,942/131,736,256 = 131,736,256/x
  3. Step 3: Cross multiply
    61,085,942x = 131,736,256 × 131,736,256
  4. Step 4: Simplify right side
    61,085,942x = 17,354,441,144,897,536
  5. Step 5: Solve for x
    x = 17,354,441,144,897,536/61,085,942
  6. Step 6: Final answer
    x = 284,098,772.59

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.