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Finding the Third Proportional to 99.31 and 213.04

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Solution

The third proportional to 99.31 and 213.04 is: 457.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.31 : 213.04 = 213.04 : x
  2. Step 2: Convert to fraction form
    99.31/213.04 = 213.04/x
  3. Step 3: Cross multiply
    99.31x = 213.04 × 213.04
  4. Step 4: Simplify right side
    99.31x = 45,386.16
  5. Step 5: Solve for x
    x = 45,386.16/99.31
  6. Step 6: Final answer
    x = 457.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.