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Finding the Third Proportional to 108,717.82 and 220,494.02

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Solution

The third proportional to 108,717.82 and 220,494.02 is: 447,190.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,717.82 : 220,494.02 = 220,494.02 : x
  2. Step 2: Convert to fraction form
    108,717.82/220,494.02 = 220,494.02/x
  3. Step 3: Cross multiply
    108,717.82x = 220,494.02 × 220,494.02
  4. Step 4: Simplify right side
    108,717.82x = 48,617,614,371.66
  5. Step 5: Solve for x
    x = 48,617,614,371.66/108,717.82
  6. Step 6: Final answer
    x = 447,190.85

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.