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Finding the Third Proportional to 134,902.97 and 194,896.13

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Solution

The third proportional to 134,902.97 and 194,896.13 is: 281,569.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,902.97 : 194,896.13 = 194,896.13 : x
  2. Step 2: Convert to fraction form
    134,902.97/194,896.13 = 194,896.13/x
  3. Step 3: Cross multiply
    134,902.97x = 194,896.13 × 194,896.13
  4. Step 4: Simplify right side
    134,902.97x = 37,984,499,540.02
  5. Step 5: Solve for x
    x = 37,984,499,540.02/134,902.97
  6. Step 6: Final answer
    x = 281,569.04

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.