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Finding the Third Proportional to 101,279.81 and 220,783.50

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Solution

The third proportional to 101,279.81 and 220,783.50 is: 481,293.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,279.81 : 220,783.50 = 220,783.50 : x
  2. Step 2: Convert to fraction form
    101,279.81/220,783.50 = 220,783.50/x
  3. Step 3: Cross multiply
    101,279.81x = 220,783.50 × 220,783.50
  4. Step 4: Simplify right side
    101,279.81x = 48,745,353,872.25
  5. Step 5: Solve for x
    x = 48,745,353,872.25/101,279.81
  6. Step 6: Final answer
    x = 481,293.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.