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Finding the Third Proportional to 90.56 and 196.03

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Solution

The third proportional to 90.56 and 196.03 is: 424.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.56 : 196.03 = 196.03 : x
  2. Step 2: Convert to fraction form
    90.56/196.03 = 196.03/x
  3. Step 3: Cross multiply
    90.56x = 196.03 × 196.03
  4. Step 4: Simplify right side
    90.56x = 38,428.25
  5. Step 5: Solve for x
    x = 38,428.25/90.56
  6. Step 6: Final answer
    x = 424.33

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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.