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Finding the Third Proportional to 100,879 and 221,350

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Solution

The third proportional to 100,879 and 221,350 is: 485,689.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,879 : 221,350 = 221,350 : x
  2. Step 2: Convert to fraction form
    100,879/221,350 = 221,350/x
  3. Step 3: Cross multiply
    100,879x = 221,350 × 221,350
  4. Step 4: Simplify right side
    100,879x = 48,995,822,500
  5. Step 5: Solve for x
    x = 48,995,822,500/100,879
  6. Step 6: Final answer
    x = 485,689.02

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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.