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Finding the Third Proportional to 100.44 and 215.13

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Solution

The third proportional to 100.44 and 215.13 is: 460.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.44 : 215.13 = 215.13 : x
  2. Step 2: Convert to fraction form
    100.44/215.13 = 215.13/x
  3. Step 3: Cross multiply
    100.44x = 215.13 × 215.13
  4. Step 4: Simplify right side
    100.44x = 46,278.77
  5. Step 5: Solve for x
    x = 46,278.77/100.44
  6. Step 6: Final answer
    x = 460.77

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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.