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Finding the Third Proportional to 107,706.38 and 230,073.75

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Solution

The third proportional to 107,706.38 and 230,073.75 is: 491,465.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,706.38 : 230,073.75 = 230,073.75 : x
  2. Step 2: Convert to fraction form
    107,706.38/230,073.75 = 230,073.75/x
  3. Step 3: Cross multiply
    107,706.38x = 230,073.75 × 230,073.75
  4. Step 4: Simplify right side
    107,706.38x = 52,933,930,439.06
  5. Step 5: Solve for x
    x = 52,933,930,439.06/107,706.38
  6. Step 6: Final answer
    x = 491,465.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.