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Finding the Third Proportional to 90,675.07 and 194,724.16

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Solution

The third proportional to 90,675.07 and 194,724.16 is: 418,168.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,675.07 : 194,724.16 = 194,724.16 : x
  2. Step 2: Convert to fraction form
    90,675.07/194,724.16 = 194,724.16/x
  3. Step 3: Cross multiply
    90,675.07x = 194,724.16 × 194,724.16
  4. Step 4: Simplify right side
    90,675.07x = 37,917,497,787.91
  5. Step 5: Solve for x
    x = 37,917,497,787.91/90,675.07
  6. Step 6: Final answer
    x = 418,168.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.