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Finding the Third Proportional to 100,096 and 218,048

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Solution

The third proportional to 100,096 and 218,048 is: 474,993.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,096 : 218,048 = 218,048 : x
  2. Step 2: Convert to fraction form
    100,096/218,048 = 218,048/x
  3. Step 3: Cross multiply
    100,096x = 218,048 × 218,048
  4. Step 4: Simplify right side
    100,096x = 47,544,930,304
  5. Step 5: Solve for x
    x = 47,544,930,304/100,096
  6. Step 6: Final answer
    x = 474,993.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.