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Finding the Third Proportional to 96.82 and 149.98

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Solution

The third proportional to 96.82 and 149.98 is: 232.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.82 : 149.98 = 149.98 : x
  2. Step 2: Convert to fraction form
    96.82/149.98 = 149.98/x
  3. Step 3: Cross multiply
    96.82x = 149.98 × 149.98
  4. Step 4: Simplify right side
    96.82x = 22,492.97
  5. Step 5: Solve for x
    x = 22,492.97/96.82
  6. Step 6: Final answer
    x = 232.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.