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Finding the Third Proportional to 100,262 and 219,838

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Solution

The third proportional to 100,262 and 219,838 is: 482,024.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,262 : 219,838 = 219,838 : x
  2. Step 2: Convert to fraction form
    100,262/219,838 = 219,838/x
  3. Step 3: Cross multiply
    100,262x = 219,838 × 219,838
  4. Step 4: Simplify right side
    100,262x = 48,328,746,244
  5. Step 5: Solve for x
    x = 48,328,746,244/100,262
  6. Step 6: Final answer
    x = 482,024.56

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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.