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Finding the Third Proportional to 94.84 and 206.94

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Solution

The third proportional to 94.84 and 206.94 is: 451.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.84 : 206.94 = 206.94 : x
  2. Step 2: Convert to fraction form
    94.84/206.94 = 206.94/x
  3. Step 3: Cross multiply
    94.84x = 206.94 × 206.94
  4. Step 4: Simplify right side
    94.84x = 42,823.13
  5. Step 5: Solve for x
    x = 42,823.13/94.84
  6. Step 6: Final answer
    x = 451.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.