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Finding the Third Proportional to 91.69 and 190.94

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Solution

The third proportional to 91.69 and 190.94 is: 397.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.69 : 190.94 = 190.94 : x
  2. Step 2: Convert to fraction form
    91.69/190.94 = 190.94/x
  3. Step 3: Cross multiply
    91.69x = 190.94 × 190.94
  4. Step 4: Simplify right side
    91.69x = 36,457.13
  5. Step 5: Solve for x
    x = 36,457.13/91.69
  6. Step 6: Final answer
    x = 397.62

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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.