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Finding the Third Proportional to 43,885 and 96,351

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Solution

The third proportional to 43,885 and 96,351 is: 211,541.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,885 : 96,351 = 96,351 : x
  2. Step 2: Convert to fraction form
    43,885/96,351 = 96,351/x
  3. Step 3: Cross multiply
    43,885x = 96,351 × 96,351
  4. Step 4: Simplify right side
    43,885x = 9,283,515,201
  5. Step 5: Solve for x
    x = 9,283,515,201/43,885
  6. Step 6: Final answer
    x = 211,541.88

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.