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Finding the Third Proportional to 90,674 and 195,946

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Solution

The third proportional to 90,674 and 195,946 is: 423,438.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,674 : 195,946 = 195,946 : x
  2. Step 2: Convert to fraction form
    90,674/195,946 = 195,946/x
  3. Step 3: Cross multiply
    90,674x = 195,946 × 195,946
  4. Step 4: Simplify right side
    90,674x = 38,394,834,916
  5. Step 5: Solve for x
    x = 38,394,834,916/90,674
  6. Step 6: Final answer
    x = 423,438.20

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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.