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Finding the Third Proportional to 199,515.66 and 443,310.47

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Solution

The third proportional to 199,515.66 and 443,310.47 is: 985,006.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,515.66 : 443,310.47 = 443,310.47 : x
  2. Step 2: Convert to fraction form
    199,515.66/443,310.47 = 443,310.47/x
  3. Step 3: Cross multiply
    199,515.66x = 443,310.47 × 443,310.47
  4. Step 4: Simplify right side
    199,515.66x = 196,524,171,703.35
  5. Step 5: Solve for x
    x = 196,524,171,703.35/199,515.66
  6. Step 6: Final answer
    x = 985,006.27

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.