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Finding the Third Proportional to 44,148.38 and 95,772.38

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Solution

The third proportional to 44,148.38 and 95,772.38 is: 207,761.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,148.38 : 95,772.38 = 95,772.38 : x
  2. Step 2: Convert to fraction form
    44,148.38/95,772.38 = 95,772.38/x
  3. Step 3: Cross multiply
    44,148.38x = 95,772.38 × 95,772.38
  4. Step 4: Simplify right side
    44,148.38x = 9,172,347,813.14
  5. Step 5: Solve for x
    x = 9,172,347,813.14/44,148.38
  6. Step 6: Final answer
    x = 207,761.84

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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.