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Finding the Third Proportional to 94,416 and 193,188

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Solution

The third proportional to 94,416 and 193,188 is: 395,288.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,416 : 193,188 = 193,188 : x
  2. Step 2: Convert to fraction form
    94,416/193,188 = 193,188/x
  3. Step 3: Cross multiply
    94,416x = 193,188 × 193,188
  4. Step 4: Simplify right side
    94,416x = 37,321,603,344
  5. Step 5: Solve for x
    x = 37,321,603,344/94,416
  6. Step 6: Final answer
    x = 395,288.97

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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.