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Finding the Third Proportional to 97.13 and 210.84

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Solution

The third proportional to 97.13 and 210.84 is: 457.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.13 : 210.84 = 210.84 : x
  2. Step 2: Convert to fraction form
    97.13/210.84 = 210.84/x
  3. Step 3: Cross multiply
    97.13x = 210.84 × 210.84
  4. Step 4: Simplify right side
    97.13x = 44,455.09
  5. Step 5: Solve for x
    x = 44,455.09/97.13
  6. Step 6: Final answer
    x = 457.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.