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Finding the Third Proportional to 91,162 and 199,604

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Solution

The third proportional to 91,162 and 199,604 is: 437,043.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,162 : 199,604 = 199,604 : x
  2. Step 2: Convert to fraction form
    91,162/199,604 = 199,604/x
  3. Step 3: Cross multiply
    91,162x = 199,604 × 199,604
  4. Step 4: Simplify right side
    91,162x = 39,841,756,816
  5. Step 5: Solve for x
    x = 39,841,756,816/91,162
  6. Step 6: Final answer
    x = 437,043.47

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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.