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Finding the Third Proportional to 199,108.13 and 303,218.44

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Solution

The third proportional to 199,108.13 and 303,218.44 is: 461,766.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,108.13 : 303,218.44 = 303,218.44 : x
  2. Step 2: Convert to fraction form
    199,108.13/303,218.44 = 303,218.44/x
  3. Step 3: Cross multiply
    199,108.13x = 303,218.44 × 303,218.44
  4. Step 4: Simplify right side
    199,108.13x = 91,941,420,839.94
  5. Step 5: Solve for x
    x = 91,941,420,839.94/199,108.13
  6. Step 6: Final answer
    x = 461,766.29

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.