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Finding the Third Proportional to 107,285,757.75 and 231,722,784

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Solution

The third proportional to 107,285,757.75 and 231,722,784 is: 500,489,997.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,285,757.75 : 231,722,784 = 231,722,784 : x
  2. Step 2: Convert to fraction form
    107,285,757.75/231,722,784 = 231,722,784/x
  3. Step 3: Cross multiply
    107,285,757.75x = 231,722,784 × 231,722,784
  4. Step 4: Simplify right side
    107,285,757.75x = 53,695,448,624,710,656
  5. Step 5: Solve for x
    x = 53,695,448,624,710,656/107,285,757.75
  6. Step 6: Final answer
    x = 500,489,997.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.