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Finding the Third Proportional to 100,272 and 216,864

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Solution

The third proportional to 100,272 and 216,864 is: 469,024.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,272 : 216,864 = 216,864 : x
  2. Step 2: Convert to fraction form
    100,272/216,864 = 216,864/x
  3. Step 3: Cross multiply
    100,272x = 216,864 × 216,864
  4. Step 4: Simplify right side
    100,272x = 47,029,994,496
  5. Step 5: Solve for x
    x = 47,029,994,496/100,272
  6. Step 6: Final answer
    x = 469,024.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.