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Finding the Third Proportional to 94,268 and 195,098

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Solution

The third proportional to 94,268 and 195,098 is: 403,776.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,268 : 195,098 = 195,098 : x
  2. Step 2: Convert to fraction form
    94,268/195,098 = 195,098/x
  3. Step 3: Cross multiply
    94,268x = 195,098 × 195,098
  4. Step 4: Simplify right side
    94,268x = 38,063,229,604
  5. Step 5: Solve for x
    x = 38,063,229,604/94,268
  6. Step 6: Final answer
    x = 403,776.78

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.