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Finding the Third Proportional to 45.23 and 96.09

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Solution

The third proportional to 45.23 and 96.09 is: 204.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.23 : 96.09 = 96.09 : x
  2. Step 2: Convert to fraction form
    45.23/96.09 = 96.09/x
  3. Step 3: Cross multiply
    45.23x = 96.09 × 96.09
  4. Step 4: Simplify right side
    45.23x = 9,234.01
  5. Step 5: Solve for x
    x = 9,234.01/45.23
  6. Step 6: Final answer
    x = 204.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.