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Finding the Third Proportional to 49.88 and 96.20

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Solution

The third proportional to 49.88 and 96.20 is: 185.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.88 : 96.20 = 96.20 : x
  2. Step 2: Convert to fraction form
    49.88/96.20 = 96.20/x
  3. Step 3: Cross multiply
    49.88x = 96.20 × 96.20
  4. Step 4: Simplify right side
    49.88x = 9,254.57
  5. Step 5: Solve for x
    x = 9,254.57/49.88
  6. Step 6: Final answer
    x = 185.53

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Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.