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Finding the Third Proportional to 48,446 and 103,900

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Solution

The third proportional to 48,446 and 103,900 is: 222,829.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,446 : 103,900 = 103,900 : x
  2. Step 2: Convert to fraction form
    48,446/103,900 = 103,900/x
  3. Step 3: Cross multiply
    48,446x = 103,900 × 103,900
  4. Step 4: Simplify right side
    48,446x = 10,795,210,000
  5. Step 5: Solve for x
    x = 10,795,210,000/48,446
  6. Step 6: Final answer
    x = 222,829.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.