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Finding the Third Proportional to 97.10 and 212.41

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Solution

The third proportional to 97.10 and 212.41 is: 464.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.10 : 212.41 = 212.41 : x
  2. Step 2: Convert to fraction form
    97.10/212.41 = 212.41/x
  3. Step 3: Cross multiply
    97.10x = 212.41 × 212.41
  4. Step 4: Simplify right side
    97.10x = 45,119.73
  5. Step 5: Solve for x
    x = 45,119.73/97.10
  6. Step 6: Final answer
    x = 464.67

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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.