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Finding the Third Proportional to 90.81 and 196.17

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Solution

The third proportional to 90.81 and 196.17 is: 423.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.81 : 196.17 = 196.17 : x
  2. Step 2: Convert to fraction form
    90.81/196.17 = 196.17/x
  3. Step 3: Cross multiply
    90.81x = 196.17 × 196.17
  4. Step 4: Simplify right side
    90.81x = 38,483.40
  5. Step 5: Solve for x
    x = 38,483.40/90.81
  6. Step 6: Final answer
    x = 423.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.