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Finding the Third Proportional to 100,393.17 and 218,282.34

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Solution

The third proportional to 100,393.17 and 218,282.34 is: 474,605.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,393.17 : 218,282.34 = 218,282.34 : x
  2. Step 2: Convert to fraction form
    100,393.17/218,282.34 = 218,282.34/x
  3. Step 3: Cross multiply
    100,393.17x = 218,282.34 × 218,282.34
  4. Step 4: Simplify right side
    100,393.17x = 47,647,181,592.99
  5. Step 5: Solve for x
    x = 47,647,181,592.99/100,393.17
  6. Step 6: Final answer
    x = 474,605.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.