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Finding the Third Proportional to 125,173,917 and 191,481,327

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Solution

The third proportional to 125,173,917 and 191,481,327 is: 292,913,247.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,173,917 : 191,481,327 = 191,481,327 : x
  2. Step 2: Convert to fraction form
    125,173,917/191,481,327 = 191,481,327/x
  3. Step 3: Cross multiply
    125,173,917x = 191,481,327 × 191,481,327
  4. Step 4: Simplify right side
    125,173,917x = 36,665,098,589,680,928
  5. Step 5: Solve for x
    x = 36,665,098,589,680,928/125,173,917
  6. Step 6: Final answer
    x = 292,913,247.97

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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.