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Finding the Third Proportional to 97.94 and 214.56

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Solution

The third proportional to 97.94 and 214.56 is: 470.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.94 : 214.56 = 214.56 : x
  2. Step 2: Convert to fraction form
    97.94/214.56 = 214.56/x
  3. Step 3: Cross multiply
    97.94x = 214.56 × 214.56
  4. Step 4: Simplify right side
    97.94x = 46,037.07
  5. Step 5: Solve for x
    x = 46,037.07/97.94
  6. Step 6: Final answer
    x = 470.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.