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Finding the Third Proportional to 90.94 and 198.81

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Solution

The third proportional to 90.94 and 198.81 is: 434.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.94 : 198.81 = 198.81 : x
  2. Step 2: Convert to fraction form
    90.94/198.81 = 198.81/x
  3. Step 3: Cross multiply
    90.94x = 198.81 × 198.81
  4. Step 4: Simplify right side
    90.94x = 39,526.41
  5. Step 5: Solve for x
    x = 39,526.41/90.94
  6. Step 6: Final answer
    x = 434.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.