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Finding the Third Proportional to 100,277.37 and 220,237.73

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Solution

The third proportional to 100,277.37 and 220,237.73 is: 483,704.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,277.37 : 220,237.73 = 220,237.73 : x
  2. Step 2: Convert to fraction form
    100,277.37/220,237.73 = 220,237.73/x
  3. Step 3: Cross multiply
    100,277.37x = 220,237.73 × 220,237.73
  4. Step 4: Simplify right side
    100,277.37x = 48,504,659,642.63
  5. Step 5: Solve for x
    x = 48,504,659,642.63/100,277.37
  6. Step 6: Final answer
    x = 483,704.96

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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.