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Finding the Third Proportional to 41,198 and 88,601

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Solution

The third proportional to 41,198 and 88,601 is: 190,546.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,198 : 88,601 = 88,601 : x
  2. Step 2: Convert to fraction form
    41,198/88,601 = 88,601/x
  3. Step 3: Cross multiply
    41,198x = 88,601 × 88,601
  4. Step 4: Simplify right side
    41,198x = 7,850,137,201
  5. Step 5: Solve for x
    x = 7,850,137,201/41,198
  6. Step 6: Final answer
    x = 190,546.56

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.