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Finding the Third Proportional to 96.63 and 199.94

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Solution

The third proportional to 96.63 and 199.94 is: 413.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.63 : 199.94 = 199.94 : x
  2. Step 2: Convert to fraction form
    96.63/199.94 = 199.94/x
  3. Step 3: Cross multiply
    96.63x = 199.94 × 199.94
  4. Step 4: Simplify right side
    96.63x = 39,975.00
  5. Step 5: Solve for x
    x = 39,975.00/96.63
  6. Step 6: Final answer
    x = 413.71

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.