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Finding the Third Proportional to 100,464 and 220,198.50

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Solution

The third proportional to 100,464 and 220,198.50 is: 482,634.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,464 : 220,198.50 = 220,198.50 : x
  2. Step 2: Convert to fraction form
    100,464/220,198.50 = 220,198.50/x
  3. Step 3: Cross multiply
    100,464x = 220,198.50 × 220,198.50
  4. Step 4: Simplify right side
    100,464x = 48,487,379,402.25
  5. Step 5: Solve for x
    x = 48,487,379,402.25/100,464
  6. Step 6: Final answer
    x = 482,634.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.