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Finding the Third Proportional to 90,794 and 199,502

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Solution

The third proportional to 90,794 and 199,502 is: 438,366.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,794 : 199,502 = 199,502 : x
  2. Step 2: Convert to fraction form
    90,794/199,502 = 199,502/x
  3. Step 3: Cross multiply
    90,794x = 199,502 × 199,502
  4. Step 4: Simplify right side
    90,794x = 39,801,048,004
  5. Step 5: Solve for x
    x = 39,801,048,004/90,794
  6. Step 6: Final answer
    x = 438,366.50

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.