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Finding the Third Proportional to 111,469,847 and 233,103,493

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Solution

The third proportional to 111,469,847 and 233,103,493 is: 487,461,317.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,469,847 : 233,103,493 = 233,103,493 : x
  2. Step 2: Convert to fraction form
    111,469,847/233,103,493 = 233,103,493/x
  3. Step 3: Cross multiply
    111,469,847x = 233,103,493 × 233,103,493
  4. Step 4: Simplify right side
    111,469,847x = 54,337,238,448,801,048
  5. Step 5: Solve for x
    x = 54,337,238,448,801,048/111,469,847
  6. Step 6: Final answer
    x = 487,461,317.22

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.