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Finding the Third Proportional to 100,250 and 220,201

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Solution

The third proportional to 100,250 and 220,201 is: 483,675.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,250 : 220,201 = 220,201 : x
  2. Step 2: Convert to fraction form
    100,250/220,201 = 220,201/x
  3. Step 3: Cross multiply
    100,250x = 220,201 × 220,201
  4. Step 4: Simplify right side
    100,250x = 48,488,480,401
  5. Step 5: Solve for x
    x = 48,488,480,401/100,250
  6. Step 6: Final answer
    x = 483,675.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.