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Finding the Third Proportional to 48,806 and 106,198

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Solution

The third proportional to 48,806 and 106,198 is: 231,078.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,806 : 106,198 = 106,198 : x
  2. Step 2: Convert to fraction form
    48,806/106,198 = 106,198/x
  3. Step 3: Cross multiply
    48,806x = 106,198 × 106,198
  4. Step 4: Simplify right side
    48,806x = 11,278,015,204
  5. Step 5: Solve for x
    x = 11,278,015,204/48,806
  6. Step 6: Final answer
    x = 231,078.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.