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Finding the Third Proportional to 44,115.75 and 95,497.88

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Solution

The third proportional to 44,115.75 and 95,497.88 is: 206,725.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,115.75 : 95,497.88 = 95,497.88 : x
  2. Step 2: Convert to fraction form
    44,115.75/95,497.88 = 95,497.88/x
  3. Step 3: Cross multiply
    44,115.75x = 95,497.88 × 95,497.88
  4. Step 4: Simplify right side
    44,115.75x = 9,119,844,129.52
  5. Step 5: Solve for x
    x = 9,119,844,129.52/44,115.75
  6. Step 6: Final answer
    x = 206,725.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.