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Finding the Third Proportional to 96.94 and 211.32

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Solution

The third proportional to 96.94 and 211.32 is: 460.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.94 : 211.32 = 211.32 : x
  2. Step 2: Convert to fraction form
    96.94/211.32 = 211.32/x
  3. Step 3: Cross multiply
    96.94x = 211.32 × 211.32
  4. Step 4: Simplify right side
    96.94x = 44,655.45
  5. Step 5: Solve for x
    x = 44,655.45/96.94
  6. Step 6: Final answer
    x = 460.63

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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.