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Finding the Third Proportional to 108,658.13 and 166,217.63

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Solution

The third proportional to 108,658.13 and 166,217.63 is: 254,268.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,658.13 : 166,217.63 = 166,217.63 : x
  2. Step 2: Convert to fraction form
    108,658.13/166,217.63 = 166,217.63/x
  3. Step 3: Cross multiply
    108,658.13x = 166,217.63 × 166,217.63
  4. Step 4: Simplify right side
    108,658.13x = 27,628,298,860.64
  5. Step 5: Solve for x
    x = 27,628,298,860.64/108,658.13
  6. Step 6: Final answer
    x = 254,268.14

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.