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Finding the Third Proportional to 101,195 and 220,612

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Solution

The third proportional to 101,195 and 220,612 is: 480,949.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,195 : 220,612 = 220,612 : x
  2. Step 2: Convert to fraction form
    101,195/220,612 = 220,612/x
  3. Step 3: Cross multiply
    101,195x = 220,612 × 220,612
  4. Step 4: Simplify right side
    101,195x = 48,669,654,544
  5. Step 5: Solve for x
    x = 48,669,654,544/101,195
  6. Step 6: Final answer
    x = 480,949.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.