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Finding the Third Proportional to 108,221,468 and 231,766,120

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Solution

The third proportional to 108,221,468 and 231,766,120 is: 496,348,232.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,221,468 : 231,766,120 = 231,766,120 : x
  2. Step 2: Convert to fraction form
    108,221,468/231,766,120 = 231,766,120/x
  3. Step 3: Cross multiply
    108,221,468x = 231,766,120 × 231,766,120
  4. Step 4: Simplify right side
    108,221,468x = 53,715,534,379,854,400
  5. Step 5: Solve for x
    x = 53,715,534,379,854,400/108,221,468
  6. Step 6: Final answer
    x = 496,348,232.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.