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Finding the Third Proportional to 44.30 and 103.78

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Solution

The third proportional to 44.30 and 103.78 is: 243.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.30 : 103.78 = 103.78 : x
  2. Step 2: Convert to fraction form
    44.30/103.78 = 103.78/x
  3. Step 3: Cross multiply
    44.30x = 103.78 × 103.78
  4. Step 4: Simplify right side
    44.30x = 10,770.55
  5. Step 5: Solve for x
    x = 10,770.55/44.30
  6. Step 6: Final answer
    x = 243.14

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.