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Finding the Third Proportional to 90.94 and 196.47

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Solution

The third proportional to 90.94 and 196.47 is: 424.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.94 : 196.47 = 196.47 : x
  2. Step 2: Convert to fraction form
    90.94/196.47 = 196.47/x
  3. Step 3: Cross multiply
    90.94x = 196.47 × 196.47
  4. Step 4: Simplify right side
    90.94x = 38,599.97
  5. Step 5: Solve for x
    x = 38,599.97/90.94
  6. Step 6: Final answer
    x = 424.47

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