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Finding the Third Proportional to 49,204 and 101,909

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Solution

The third proportional to 49,204 and 101,909 is: 211,069.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,204 : 101,909 = 101,909 : x
  2. Step 2: Convert to fraction form
    49,204/101,909 = 101,909/x
  3. Step 3: Cross multiply
    49,204x = 101,909 × 101,909
  4. Step 4: Simplify right side
    49,204x = 10,385,444,281
  5. Step 5: Solve for x
    x = 10,385,444,281/49,204
  6. Step 6: Final answer
    x = 211,069.11

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.