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Finding the Third Proportional to 96.19 and 157.78

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Solution

The third proportional to 96.19 and 157.78 is: 258.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.19 : 157.78 = 157.78 : x
  2. Step 2: Convert to fraction form
    96.19/157.78 = 157.78/x
  3. Step 3: Cross multiply
    96.19x = 157.78 × 157.78
  4. Step 4: Simplify right side
    96.19x = 24,894.92
  5. Step 5: Solve for x
    x = 24,894.92/96.19
  6. Step 6: Final answer
    x = 258.82

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.