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Finding the Third Proportional to 125,272,338 and 191,652,651

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Solution

The third proportional to 125,272,338 and 191,652,651 is: 293,207,097.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,272,338 : 191,652,651 = 191,652,651 : x
  2. Step 2: Convert to fraction form
    125,272,338/191,652,651 = 191,652,651/x
  3. Step 3: Cross multiply
    125,272,338x = 191,652,651 × 191,652,651
  4. Step 4: Simplify right side
    125,272,338x = 36,730,738,635,327,800
  5. Step 5: Solve for x
    x = 36,730,738,635,327,800/125,272,338
  6. Step 6: Final answer
    x = 293,207,097.61

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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.