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Finding the Third Proportional to 107,314.88 and 231,366.38

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Solution

The third proportional to 107,314.88 and 231,366.38 is: 498,816.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,314.88 : 231,366.38 = 231,366.38 : x
  2. Step 2: Convert to fraction form
    107,314.88/231,366.38 = 231,366.38/x
  3. Step 3: Cross multiply
    107,314.88x = 231,366.38 × 231,366.38
  4. Step 4: Simplify right side
    107,314.88x = 53,530,399,480.64
  5. Step 5: Solve for x
    x = 53,530,399,480.64/107,314.88
  6. Step 6: Final answer
    x = 498,816.21

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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.