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Finding the Third Proportional to 100,962 and 221,508

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Solution

The third proportional to 100,962 and 221,508 is: 485,982.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,962 : 221,508 = 221,508 : x
  2. Step 2: Convert to fraction form
    100,962/221,508 = 221,508/x
  3. Step 3: Cross multiply
    100,962x = 221,508 × 221,508
  4. Step 4: Simplify right side
    100,962x = 49,065,794,064
  5. Step 5: Solve for x
    x = 49,065,794,064/100,962
  6. Step 6: Final answer
    x = 485,982.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.