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Finding the Third Proportional to 108,286.13 and 166,657.88

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Solution

The third proportional to 108,286.13 and 166,657.88 is: 256,494.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,286.13 : 166,657.88 = 166,657.88 : x
  2. Step 2: Convert to fraction form
    108,286.13/166,657.88 = 166,657.88/x
  3. Step 3: Cross multiply
    108,286.13x = 166,657.88 × 166,657.88
  4. Step 4: Simplify right side
    108,286.13x = 27,774,847,299.52
  5. Step 5: Solve for x
    x = 27,774,847,299.52/108,286.13
  6. Step 6: Final answer
    x = 256,494.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.