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Finding the Third Proportional to 108,850.50 and 168,198

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Solution

The third proportional to 108,850.50 and 168,198 is: 259,902.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,850.50 : 168,198 = 168,198 : x
  2. Step 2: Convert to fraction form
    108,850.50/168,198 = 168,198/x
  3. Step 3: Cross multiply
    108,850.50x = 168,198 × 168,198
  4. Step 4: Simplify right side
    108,850.50x = 28,290,567,204
  5. Step 5: Solve for x
    x = 28,290,567,204/108,850.50
  6. Step 6: Final answer
    x = 259,902.96

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.