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Finding the Third Proportional to 111,469,897 and 233,103,592

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Solution

The third proportional to 111,469,897 and 233,103,592 is: 487,461,512.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,469,897 : 233,103,592 = 233,103,592 : x
  2. Step 2: Convert to fraction form
    111,469,897/233,103,592 = 233,103,592/x
  3. Step 3: Cross multiply
    111,469,897x = 233,103,592 × 233,103,592
  4. Step 4: Simplify right side
    111,469,897x = 54,337,284,603,302,464
  5. Step 5: Solve for x
    x = 54,337,284,603,302,464/111,469,897
  6. Step 6: Final answer
    x = 487,461,512.62

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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.