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Finding the Third Proportional to 94,186.13 and 194,997.38

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Solution

The third proportional to 94,186.13 and 194,997.38 is: 403,711.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,186.13 : 194,997.38 = 194,997.38 : x
  2. Step 2: Convert to fraction form
    94,186.13/194,997.38 = 194,997.38/x
  3. Step 3: Cross multiply
    94,186.13x = 194,997.38 × 194,997.38
  4. Step 4: Simplify right side
    94,186.13x = 38,023,976,256.89
  5. Step 5: Solve for x
    x = 38,023,976,256.89/94,186.13
  6. Step 6: Final answer
    x = 403,711.02

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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.