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Finding the Third Proportional to 49,231.13 and 100,267.03

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Solution

The third proportional to 49,231.13 and 100,267.03 is: 204,209.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,231.13 : 100,267.03 = 100,267.03 : x
  2. Step 2: Convert to fraction form
    49,231.13/100,267.03 = 100,267.03/x
  3. Step 3: Cross multiply
    49,231.13x = 100,267.03 × 100,267.03
  4. Step 4: Simplify right side
    49,231.13x = 10,053,477,555.69
  5. Step 5: Solve for x
    x = 10,053,477,555.69/49,231.13
  6. Step 6: Final answer
    x = 204,209.79

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.