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Finding the Third Proportional to 100.22 and 214.94

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Solution

The third proportional to 100.22 and 214.94 is: 460.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.22 : 214.94 = 214.94 : x
  2. Step 2: Convert to fraction form
    100.22/214.94 = 214.94/x
  3. Step 3: Cross multiply
    100.22x = 214.94 × 214.94
  4. Step 4: Simplify right side
    100.22x = 46,198.13
  5. Step 5: Solve for x
    x = 46,198.13/100.22
  6. Step 6: Final answer
    x = 460.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.