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Finding the Third Proportional to 100,727.30 and 218,062.13

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Solution

The third proportional to 100,727.30 and 218,062.13 is: 472,077.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,727.30 : 218,062.13 = 218,062.13 : x
  2. Step 2: Convert to fraction form
    100,727.30/218,062.13 = 218,062.13/x
  3. Step 3: Cross multiply
    100,727.30x = 218,062.13 × 218,062.13
  4. Step 4: Simplify right side
    100,727.30x = 47,551,090,359.52
  5. Step 5: Solve for x
    x = 47,551,090,359.52/100,727.30
  6. Step 6: Final answer
    x = 472,077.50

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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.