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Finding the Third Proportional to 100,956.38 and 218,629.13

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Solution

The third proportional to 100,956.38 and 218,629.13 is: 473,458.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,956.38 : 218,629.13 = 218,629.13 : x
  2. Step 2: Convert to fraction form
    100,956.38/218,629.13 = 218,629.13/x
  3. Step 3: Cross multiply
    100,956.38x = 218,629.13 × 218,629.13
  4. Step 4: Simplify right side
    100,956.38x = 47,798,694,298.27
  5. Step 5: Solve for x
    x = 47,798,694,298.27/100,956.38
  6. Step 6: Final answer
    x = 473,458.90

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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.