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Finding the Third Proportional to 61,085,944 and 131,736,260

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Solution

The third proportional to 61,085,944 and 131,736,260 is: 284,098,780.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,085,944 : 131,736,260 = 131,736,260 : x
  2. Step 2: Convert to fraction form
    61,085,944/131,736,260 = 131,736,260/x
  3. Step 3: Cross multiply
    61,085,944x = 131,736,260 × 131,736,260
  4. Step 4: Simplify right side
    61,085,944x = 17,354,442,198,787,600
  5. Step 5: Solve for x
    x = 17,354,442,198,787,600/61,085,944
  6. Step 6: Final answer
    x = 284,098,780.54

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Why These Related Problems?

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