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Finding the Third Proportional to 93.62 and 194.71

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Solution

The third proportional to 93.62 and 194.71 is: 404.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.62 : 194.71 = 194.71 : x
  2. Step 2: Convert to fraction form
    93.62/194.71 = 194.71/x
  3. Step 3: Cross multiply
    93.62x = 194.71 × 194.71
  4. Step 4: Simplify right side
    93.62x = 37,911.40
  5. Step 5: Solve for x
    x = 37,911.40/93.62
  6. Step 6: Final answer
    x = 404.96

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.