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Finding the Third Proportional to 105 and 216.38

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Solution

The third proportional to 105 and 216.38 is: 445.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    105 : 216.38 = 216.38 : x
  2. Step 2: Convert to fraction form
    105/216.38 = 216.38/x
  3. Step 3: Cross multiply
    105x = 216.38 × 216.38
  4. Step 4: Simplify right side
    105x = 46,818.14
  5. Step 5: Solve for x
    x = 46,818.14/105
  6. Step 6: Final answer
    x = 445.89

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.