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Finding the Third Proportional to 125,181,524 and 191,489,910

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Solution

The third proportional to 125,181,524 and 191,489,910 is: 292,921,706.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,181,524 : 191,489,910 = 191,489,910 : x
  2. Step 2: Convert to fraction form
    125,181,524/191,489,910 = 191,489,910/x
  3. Step 3: Cross multiply
    125,181,524x = 191,489,910 × 191,489,910
  4. Step 4: Simplify right side
    125,181,524x = 36,668,385,631,808,096
  5. Step 5: Solve for x
    x = 36,668,385,631,808,096/125,181,524
  6. Step 6: Final answer
    x = 292,921,706.50

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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.