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Finding the Third Proportional to 48,224 and 103,849

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Solution

The third proportional to 48,224 and 103,849 is: 223,635.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,224 : 103,849 = 103,849 : x
  2. Step 2: Convert to fraction form
    48,224/103,849 = 103,849/x
  3. Step 3: Cross multiply
    48,224x = 103,849 × 103,849
  4. Step 4: Simplify right side
    48,224x = 10,784,614,801
  5. Step 5: Solve for x
    x = 10,784,614,801/48,224
  6. Step 6: Final answer
    x = 223,635.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.