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Finding the Third Proportional to 108,809.50 and 166,434.50

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Solution

The third proportional to 108,809.50 and 166,434.50 is: 254,577.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,809.50 : 166,434.50 = 166,434.50 : x
  2. Step 2: Convert to fraction form
    108,809.50/166,434.50 = 166,434.50/x
  3. Step 3: Cross multiply
    108,809.50x = 166,434.50 × 166,434.50
  4. Step 4: Simplify right side
    108,809.50x = 27,700,442,790.25
  5. Step 5: Solve for x
    x = 27,700,442,790.25/108,809.50
  6. Step 6: Final answer
    x = 254,577.43

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