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Finding the Third Proportional to 88.70 and 195.96

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Solution

The third proportional to 88.70 and 195.96 is: 432.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.70 : 195.96 = 195.96 : x
  2. Step 2: Convert to fraction form
    88.70/195.96 = 195.96/x
  3. Step 3: Cross multiply
    88.70x = 195.96 × 195.96
  4. Step 4: Simplify right side
    88.70x = 38,400.69
  5. Step 5: Solve for x
    x = 38,400.69/88.70
  6. Step 6: Final answer
    x = 432.93

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.