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Finding the Third Proportional to 100,864.13 and 150,704.06

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Solution

The third proportional to 100,864.13 and 150,704.06 is: 225,171.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,864.13 : 150,704.06 = 150,704.06 : x
  2. Step 2: Convert to fraction form
    100,864.13/150,704.06 = 150,704.06/x
  3. Step 3: Cross multiply
    100,864.13x = 150,704.06 × 150,704.06
  4. Step 4: Simplify right side
    100,864.13x = 22,711,714,454.00
  5. Step 5: Solve for x
    x = 22,711,714,454.00/100,864.13
  6. Step 6: Final answer
    x = 225,171.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.