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Finding the Third Proportional to 91.84 and 194.35

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Solution

The third proportional to 91.84 and 194.35 is: 411.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.84 : 194.35 = 194.35 : x
  2. Step 2: Convert to fraction form
    91.84/194.35 = 194.35/x
  3. Step 3: Cross multiply
    91.84x = 194.35 × 194.35
  4. Step 4: Simplify right side
    91.84x = 37,772.91
  5. Step 5: Solve for x
    x = 37,772.91/91.84
  6. Step 6: Final answer
    x = 411.30

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.