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Finding the Third Proportional to 48,446 and 103,796

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Solution

The third proportional to 48,446 and 103,796 is: 222,383.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,446 : 103,796 = 103,796 : x
  2. Step 2: Convert to fraction form
    48,446/103,796 = 103,796/x
  3. Step 3: Cross multiply
    48,446x = 103,796 × 103,796
  4. Step 4: Simplify right side
    48,446x = 10,773,609,616
  5. Step 5: Solve for x
    x = 10,773,609,616/48,446
  6. Step 6: Final answer
    x = 222,383.88

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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.