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Finding the Third Proportional to 45,191.25 and 98,425.13

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Solution

The third proportional to 45,191.25 and 98,425.13 is: 214,366.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,191.25 : 98,425.13 = 98,425.13 : x
  2. Step 2: Convert to fraction form
    45,191.25/98,425.13 = 98,425.13/x
  3. Step 3: Cross multiply
    45,191.25x = 98,425.13 × 98,425.13
  4. Step 4: Simplify right side
    45,191.25x = 9,687,505,231.27
  5. Step 5: Solve for x
    x = 9,687,505,231.27/45,191.25
  6. Step 6: Final answer
    x = 214,366.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.