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Finding the Third Proportional to 61,085,988 and 131,736,348

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Solution

The third proportional to 61,085,988 and 131,736,348 is: 284,098,955.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,085,988 : 131,736,348 = 131,736,348 : x
  2. Step 2: Convert to fraction form
    61,085,988/131,736,348 = 131,736,348/x
  3. Step 3: Cross multiply
    61,085,988x = 131,736,348 × 131,736,348
  4. Step 4: Simplify right side
    61,085,988x = 17,354,465,384,377,104
  5. Step 5: Solve for x
    x = 17,354,465,384,377,104/61,085,988
  6. Step 6: Final answer
    x = 284,098,955.47

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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.