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Finding the Third Proportional to 94,412 and 193,180

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Solution

The third proportional to 94,412 and 193,180 is: 395,272.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,412 : 193,180 = 193,180 : x
  2. Step 2: Convert to fraction form
    94,412/193,180 = 193,180/x
  3. Step 3: Cross multiply
    94,412x = 193,180 × 193,180
  4. Step 4: Simplify right side
    94,412x = 37,318,512,400
  5. Step 5: Solve for x
    x = 37,318,512,400/94,412
  6. Step 6: Final answer
    x = 395,272.98

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.