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Finding the Third Proportional to 90.41 and 192.93

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Solution

The third proportional to 90.41 and 192.93 is: 411.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.41 : 192.93 = 192.93 : x
  2. Step 2: Convert to fraction form
    90.41/192.93 = 192.93/x
  3. Step 3: Cross multiply
    90.41x = 192.93 × 192.93
  4. Step 4: Simplify right side
    90.41x = 37,221.49
  5. Step 5: Solve for x
    x = 37,221.49/90.41
  6. Step 6: Final answer
    x = 411.68

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.