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Finding the Third Proportional to 50,198 and 106,836

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Solution

The third proportional to 50,198 and 106,836 is: 227,378.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,198 : 106,836 = 106,836 : x
  2. Step 2: Convert to fraction form
    50,198/106,836 = 106,836/x
  3. Step 3: Cross multiply
    50,198x = 106,836 × 106,836
  4. Step 4: Simplify right side
    50,198x = 11,413,930,896
  5. Step 5: Solve for x
    x = 11,413,930,896/50,198
  6. Step 6: Final answer
    x = 227,378.20

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.