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Finding the Third Proportional to 94,098 and 195,940

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Solution

The third proportional to 94,098 and 195,940 is: 408,005.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,098 : 195,940 = 195,940 : x
  2. Step 2: Convert to fraction form
    94,098/195,940 = 195,940/x
  3. Step 3: Cross multiply
    94,098x = 195,940 × 195,940
  4. Step 4: Simplify right side
    94,098x = 38,392,483,600
  5. Step 5: Solve for x
    x = 38,392,483,600/94,098
  6. Step 6: Final answer
    x = 408,005.31

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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.