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Finding the Third Proportional to 101,836 and 221,744

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Solution

The third proportional to 101,836 and 221,744 is: 482,839.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,836 : 221,744 = 221,744 : x
  2. Step 2: Convert to fraction form
    101,836/221,744 = 221,744/x
  3. Step 3: Cross multiply
    101,836x = 221,744 × 221,744
  4. Step 4: Simplify right side
    101,836x = 49,170,401,536
  5. Step 5: Solve for x
    x = 49,170,401,536/101,836
  6. Step 6: Final answer
    x = 482,839.09

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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.