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Finding the Third Proportional to 99,096 and 213,744

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Solution

The third proportional to 99,096 and 213,744 is: 461,032.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,096 : 213,744 = 213,744 : x
  2. Step 2: Convert to fraction form
    99,096/213,744 = 213,744/x
  3. Step 3: Cross multiply
    99,096x = 213,744 × 213,744
  4. Step 4: Simplify right side
    99,096x = 45,686,497,536
  5. Step 5: Solve for x
    x = 45,686,497,536/99,096
  6. Step 6: Final answer
    x = 461,032.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.