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Finding the Third Proportional to 49,179.38 and 105,523.88

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Solution

The third proportional to 49,179.38 and 105,523.88 is: 226,421.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,179.38 : 105,523.88 = 105,523.88 : x
  2. Step 2: Convert to fraction form
    49,179.38/105,523.88 = 105,523.88/x
  3. Step 3: Cross multiply
    49,179.38x = 105,523.88 × 105,523.88
  4. Step 4: Simplify right side
    49,179.38x = 11,135,288,195.02
  5. Step 5: Solve for x
    x = 11,135,288,195.02/49,179.38
  6. Step 6: Final answer
    x = 226,421.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.