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Finding the Third Proportional to 49,211 and 103,099

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Solution

The third proportional to 49,211 and 103,099 is: 215,996.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,211 : 103,099 = 103,099 : x
  2. Step 2: Convert to fraction form
    49,211/103,099 = 103,099/x
  3. Step 3: Cross multiply
    49,211x = 103,099 × 103,099
  4. Step 4: Simplify right side
    49,211x = 10,629,403,801
  5. Step 5: Solve for x
    x = 10,629,403,801/49,211
  6. Step 6: Final answer
    x = 215,996.50

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.