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Finding the Third Proportional to 49,265.44 and 108,372.38

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Solution

The third proportional to 49,265.44 and 108,372.38 is: 238,393.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,265.44 : 108,372.38 = 108,372.38 : x
  2. Step 2: Convert to fraction form
    49,265.44/108,372.38 = 108,372.38/x
  3. Step 3: Cross multiply
    49,265.44x = 108,372.38 × 108,372.38
  4. Step 4: Simplify right side
    49,265.44x = 11,744,571,663.14
  5. Step 5: Solve for x
    x = 11,744,571,663.14/49,265.44
  6. Step 6: Final answer
    x = 238,393.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.