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Finding the Third Proportional to 100,454.25 and 220,996.50

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Solution

The third proportional to 100,454.25 and 220,996.50 is: 486,186.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,454.25 : 220,996.50 = 220,996.50 : x
  2. Step 2: Convert to fraction form
    100,454.25/220,996.50 = 220,996.50/x
  3. Step 3: Cross multiply
    100,454.25x = 220,996.50 × 220,996.50
  4. Step 4: Simplify right side
    100,454.25x = 48,839,453,012.25
  5. Step 5: Solve for x
    x = 48,839,453,012.25/100,454.25
  6. Step 6: Final answer
    x = 486,186.03

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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.