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Finding the Third Proportional to 125,229,536 and 272,691,016

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Solution

The third proportional to 125,229,536 and 272,691,016 is: 593,792,747.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,229,536 : 272,691,016 = 272,691,016 : x
  2. Step 2: Convert to fraction form
    125,229,536/272,691,016 = 272,691,016/x
  3. Step 3: Cross multiply
    125,229,536x = 272,691,016 × 272,691,016
  4. Step 4: Simplify right side
    125,229,536x = 74,360,390,207,112,256
  5. Step 5: Solve for x
    x = 74,360,390,207,112,256/125,229,536
  6. Step 6: Final answer
    x = 593,792,747.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.