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Finding the Third Proportional to 96.94 and 208.03

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Solution

The third proportional to 96.94 and 208.03 is: 446.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.94 : 208.03 = 208.03 : x
  2. Step 2: Convert to fraction form
    96.94/208.03 = 208.03/x
  3. Step 3: Cross multiply
    96.94x = 208.03 × 208.03
  4. Step 4: Simplify right side
    96.94x = 43,277.00
  5. Step 5: Solve for x
    x = 43,277.00/96.94
  6. Step 6: Final answer
    x = 446.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.