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Finding the Third Proportional to 46.99 and 96.11

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Solution

The third proportional to 46.99 and 96.11 is: 196.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.99 : 96.11 = 96.11 : x
  2. Step 2: Convert to fraction form
    46.99/96.11 = 96.11/x
  3. Step 3: Cross multiply
    46.99x = 96.11 × 96.11
  4. Step 4: Simplify right side
    46.99x = 9,236.82
  5. Step 5: Solve for x
    x = 9,236.82/46.99
  6. Step 6: Final answer
    x = 196.59

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.