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Finding the Third Proportional to 109,904,532 and 170,906,769

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Solution

The third proportional to 109,904,532 and 170,906,769 is: 265,768,145.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,904,532 : 170,906,769 = 170,906,769 : x
  2. Step 2: Convert to fraction form
    109,904,532/170,906,769 = 170,906,769/x
  3. Step 3: Cross multiply
    109,904,532x = 170,906,769 × 170,906,769
  4. Step 4: Simplify right side
    109,904,532x = 29,209,123,690,019,360
  5. Step 5: Solve for x
    x = 29,209,123,690,019,360/109,904,532
  6. Step 6: Final answer
    x = 265,768,145.85

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.