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Finding the Third Proportional to 100,291.88 and 220,266.75

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Solution

The third proportional to 100,291.88 and 220,266.75 is: 483,762.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,291.88 : 220,266.75 = 220,266.75 : x
  2. Step 2: Convert to fraction form
    100,291.88/220,266.75 = 220,266.75/x
  3. Step 3: Cross multiply
    100,291.88x = 220,266.75 × 220,266.75
  4. Step 4: Simplify right side
    100,291.88x = 48,517,441,155.56
  5. Step 5: Solve for x
    x = 48,517,441,155.56/100,291.88
  6. Step 6: Final answer
    x = 483,762.43

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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.