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Finding the Third Proportional to 50,211 and 108,198

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Solution

The third proportional to 50,211 and 108,198 is: 233,152.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,211 : 108,198 = 108,198 : x
  2. Step 2: Convert to fraction form
    50,211/108,198 = 108,198/x
  3. Step 3: Cross multiply
    50,211x = 108,198 × 108,198
  4. Step 4: Simplify right side
    50,211x = 11,706,807,204
  5. Step 5: Solve for x
    x = 11,706,807,204/50,211
  6. Step 6: Final answer
    x = 233,152.24

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Why These Related Problems?

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