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Finding the Third Proportional to 100,282.50 and 220,249.13

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Solution

The third proportional to 100,282.50 and 220,249.13 is: 483,730.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,282.50 : 220,249.13 = 220,249.13 : x
  2. Step 2: Convert to fraction form
    100,282.50/220,249.13 = 220,249.13/x
  3. Step 3: Cross multiply
    100,282.50x = 220,249.13 × 220,249.13
  4. Step 4: Simplify right side
    100,282.50x = 48,509,677,063.27
  5. Step 5: Solve for x
    x = 48,509,677,063.27/100,282.50
  6. Step 6: Final answer
    x = 483,730.23

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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.