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Finding the Third Proportional to 108,988.50 and 231,180

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Solution

The third proportional to 108,988.50 and 231,180 is: 490,365.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,988.50 : 231,180 = 231,180 : x
  2. Step 2: Convert to fraction form
    108,988.50/231,180 = 231,180/x
  3. Step 3: Cross multiply
    108,988.50x = 231,180 × 231,180
  4. Step 4: Simplify right side
    108,988.50x = 53,444,192,400
  5. Step 5: Solve for x
    x = 53,444,192,400/108,988.50
  6. Step 6: Final answer
    x = 490,365.43

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.