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Finding the Third Proportional to 101,833 and 220,615

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Solution

The third proportional to 101,833 and 220,615 is: 477,948.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,833 : 220,615 = 220,615 : x
  2. Step 2: Convert to fraction form
    101,833/220,615 = 220,615/x
  3. Step 3: Cross multiply
    101,833x = 220,615 × 220,615
  4. Step 4: Simplify right side
    101,833x = 48,670,978,225
  5. Step 5: Solve for x
    x = 48,670,978,225/101,833
  6. Step 6: Final answer
    x = 477,948.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.