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Finding the Third Proportional to 98.58 and 216.14

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Solution

The third proportional to 98.58 and 216.14 is: 473.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.58 : 216.14 = 216.14 : x
  2. Step 2: Convert to fraction form
    98.58/216.14 = 216.14/x
  3. Step 3: Cross multiply
    98.58x = 216.14 × 216.14
  4. Step 4: Simplify right side
    98.58x = 46,716.77
  5. Step 5: Solve for x
    x = 46,716.77/98.58
  6. Step 6: Final answer
    x = 473.91

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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.