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Finding the Third Proportional to 93.59 and 190.97

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Solution

The third proportional to 93.59 and 190.97 is: 389.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.59 : 190.97 = 190.97 : x
  2. Step 2: Convert to fraction form
    93.59/190.97 = 190.97/x
  3. Step 3: Cross multiply
    93.59x = 190.97 × 190.97
  4. Step 4: Simplify right side
    93.59x = 36,469.06
  5. Step 5: Solve for x
    x = 36,469.06/93.59
  6. Step 6: Final answer
    x = 389.69

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.