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Finding the Third Proportional to 107,325,344.25 and 231,645,136.50

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Solution

The third proportional to 107,325,344.25 and 231,645,136.50 is: 499,970,157.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,325,344.25 : 231,645,136.50 = 231,645,136.50 : x
  2. Step 2: Convert to fraction form
    107,325,344.25/231,645,136.50 = 231,645,136.50/x
  3. Step 3: Cross multiply
    107,325,344.25x = 231,645,136.50 × 231,645,136.50
  4. Step 4: Simplify right side
    107,325,344.25x = 53,659,469,264,103,632
  5. Step 5: Solve for x
    x = 53,659,469,264,103,632/107,325,344.25
  6. Step 6: Final answer
    x = 499,970,157.46

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