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Finding the Third Proportional to 91,002 and 196,802

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Solution

The third proportional to 91,002 and 196,802 is: 425,606.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,002 : 196,802 = 196,802 : x
  2. Step 2: Convert to fraction form
    91,002/196,802 = 196,802/x
  3. Step 3: Cross multiply
    91,002x = 196,802 × 196,802
  4. Step 4: Simplify right side
    91,002x = 38,731,027,204
  5. Step 5: Solve for x
    x = 38,731,027,204/91,002
  6. Step 6: Final answer
    x = 425,606.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.