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Finding the Third Proportional to 94,100 and 195,944

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Solution

The third proportional to 94,100 and 195,944 is: 408,013.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,100 : 195,944 = 195,944 : x
  2. Step 2: Convert to fraction form
    94,100/195,944 = 195,944/x
  3. Step 3: Cross multiply
    94,100x = 195,944 × 195,944
  4. Step 4: Simplify right side
    94,100x = 38,394,051,136
  5. Step 5: Solve for x
    x = 38,394,051,136/94,100
  6. Step 6: Final answer
    x = 408,013.30

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.