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Finding the Third Proportional to 40,186.13 and 87,138.28

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Solution

The third proportional to 40,186.13 and 87,138.28 is: 188,947.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,186.13 : 87,138.28 = 87,138.28 : x
  2. Step 2: Convert to fraction form
    40,186.13/87,138.28 = 87,138.28/x
  3. Step 3: Cross multiply
    40,186.13x = 87,138.28 × 87,138.28
  4. Step 4: Simplify right side
    40,186.13x = 7,593,080,059.20
  5. Step 5: Solve for x
    x = 7,593,080,059.20/40,186.13
  6. Step 6: Final answer
    x = 188,947.80

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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.