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Finding the Third Proportional to 49,930.80 and 108,171.07

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Solution

The third proportional to 49,930.80 and 108,171.07 is: 234,343.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,930.80 : 108,171.07 = 108,171.07 : x
  2. Step 2: Convert to fraction form
    49,930.80/108,171.07 = 108,171.07/x
  3. Step 3: Cross multiply
    49,930.80x = 108,171.07 × 108,171.07
  4. Step 4: Simplify right side
    49,930.80x = 11,700,980,452.55
  5. Step 5: Solve for x
    x = 11,700,980,452.55/49,930.80
  6. Step 6: Final answer
    x = 234,343.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.