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Finding the Third Proportional to 44.30 and 97.14

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Solution

The third proportional to 44.30 and 97.14 is: 213.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.30 : 97.14 = 97.14 : x
  2. Step 2: Convert to fraction form
    44.30/97.14 = 97.14/x
  3. Step 3: Cross multiply
    44.30x = 97.14 × 97.14
  4. Step 4: Simplify right side
    44.30x = 9,435.54
  5. Step 5: Solve for x
    x = 9,435.54/44.30
  6. Step 6: Final answer
    x = 213.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.