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Finding the Third Proportional to 40,195.13 and 88,287.19

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Solution

The third proportional to 40,195.13 and 88,287.19 is: 193,919.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,195.13 : 88,287.19 = 88,287.19 : x
  2. Step 2: Convert to fraction form
    40,195.13/88,287.19 = 88,287.19/x
  3. Step 3: Cross multiply
    40,195.13x = 88,287.19 × 88,287.19
  4. Step 4: Simplify right side
    40,195.13x = 7,794,627,476.66
  5. Step 5: Solve for x
    x = 7,794,627,476.66/40,195.13
  6. Step 6: Final answer
    x = 193,919.72

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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.