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Finding the Third Proportional to 100,455.50 and 220,998.50

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Solution

The third proportional to 100,455.50 and 220,998.50 is: 486,188.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,455.50 : 220,998.50 = 220,998.50 : x
  2. Step 2: Convert to fraction form
    100,455.50/220,998.50 = 220,998.50/x
  3. Step 3: Cross multiply
    100,455.50x = 220,998.50 × 220,998.50
  4. Step 4: Simplify right side
    100,455.50x = 48,840,337,002.25
  5. Step 5: Solve for x
    x = 48,840,337,002.25/100,455.50
  6. Step 6: Final answer
    x = 486,188.78

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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.