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Finding the Third Proportional to 100,281.75 and 220,243.88

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Solution

The third proportional to 100,281.75 and 220,243.88 is: 483,710.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,281.75 : 220,243.88 = 220,243.88 : x
  2. Step 2: Convert to fraction form
    100,281.75/220,243.88 = 220,243.88/x
  3. Step 3: Cross multiply
    100,281.75x = 220,243.88 × 220,243.88
  4. Step 4: Simplify right side
    100,281.75x = 48,507,364,475.02
  5. Step 5: Solve for x
    x = 48,507,364,475.02/100,281.75
  6. Step 6: Final answer
    x = 483,710.79

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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.