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Finding the Third Proportional to 105.19 and 227.48

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Solution

The third proportional to 105.19 and 227.48 is: 491.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.19 : 227.48 = 227.48 : x
  2. Step 2: Convert to fraction form
    105.19/227.48 = 227.48/x
  3. Step 3: Cross multiply
    105.19x = 227.48 × 227.48
  4. Step 4: Simplify right side
    105.19x = 51,749.14
  5. Step 5: Solve for x
    x = 51,749.14/105.19
  6. Step 6: Final answer
    x = 491.97

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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.