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Finding the Third Proportional to 100,127,853 and 207,929,511

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Solution

The third proportional to 100,127,853 and 207,929,511 is: 431,794,752.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,127,853 : 207,929,511 = 207,929,511 : x
  2. Step 2: Convert to fraction form
    100,127,853/207,929,511 = 207,929,511/x
  3. Step 3: Cross multiply
    100,127,853x = 207,929,511 × 207,929,511
  4. Step 4: Simplify right side
    100,127,853x = 43,234,681,544,699,120
  5. Step 5: Solve for x
    x = 43,234,681,544,699,120/100,127,853
  6. Step 6: Final answer
    x = 431,794,752.90

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.