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Finding the Third Proportional to 83,546,845 and 127,721,593

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Solution

The third proportional to 83,546,845 and 127,721,593 is: 195,253,397.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,546,845 : 127,721,593 = 127,721,593 : x
  2. Step 2: Convert to fraction form
    83,546,845/127,721,593 = 127,721,593/x
  3. Step 3: Cross multiply
    83,546,845x = 127,721,593 × 127,721,593
  4. Step 4: Simplify right side
    83,546,845x = 16,312,805,318,457,648
  5. Step 5: Solve for x
    x = 16,312,805,318,457,648/83,546,845
  6. Step 6: Final answer
    x = 195,253,397.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.