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Finding the Third Proportional to 111,469,934 and 233,103,667

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Solution

The third proportional to 111,469,934 and 233,103,667 is: 487,461,664.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,469,934 : 233,103,667 = 233,103,667 : x
  2. Step 2: Convert to fraction form
    111,469,934/233,103,667 = 233,103,667/x
  3. Step 3: Cross multiply
    111,469,934x = 233,103,667 × 233,103,667
  4. Step 4: Simplify right side
    111,469,934x = 54,337,319,568,846,888
  5. Step 5: Solve for x
    x = 54,337,319,568,846,888/111,469,934
  6. Step 6: Final answer
    x = 487,461,664.50

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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.