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Finding the Third Proportional to 100,266.50 and 218,530

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Solution

The third proportional to 100,266.50 and 218,530 is: 476,284.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,266.50 : 218,530 = 218,530 : x
  2. Step 2: Convert to fraction form
    100,266.50/218,530 = 218,530/x
  3. Step 3: Cross multiply
    100,266.50x = 218,530 × 218,530
  4. Step 4: Simplify right side
    100,266.50x = 47,755,360,900
  5. Step 5: Solve for x
    x = 47,755,360,900/100,266.50
  6. Step 6: Final answer
    x = 476,284.31

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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.