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Finding the Third Proportional to 108,808.31 and 166,433.06

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Solution

The third proportional to 108,808.31 and 166,433.06 is: 254,575.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,808.31 : 166,433.06 = 166,433.06 : x
  2. Step 2: Convert to fraction form
    108,808.31/166,433.06 = 166,433.06/x
  3. Step 3: Cross multiply
    108,808.31x = 166,433.06 × 166,433.06
  4. Step 4: Simplify right side
    108,808.31x = 27,699,964,293.13
  5. Step 5: Solve for x
    x = 27,699,964,293.13/108,808.31
  6. Step 6: Final answer
    x = 254,575.81

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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.