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Finding the Third Proportional to 103,854 and 220,668

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Solution

The third proportional to 103,854 and 220,668 is: 468,873.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,854 : 220,668 = 220,668 : x
  2. Step 2: Convert to fraction form
    103,854/220,668 = 220,668/x
  3. Step 3: Cross multiply
    103,854x = 220,668 × 220,668
  4. Step 4: Simplify right side
    103,854x = 48,694,366,224
  5. Step 5: Solve for x
    x = 48,694,366,224/103,854
  6. Step 6: Final answer
    x = 468,873.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.