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Finding the Third Proportional to 98.39 and 215.48

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Solution

The third proportional to 98.39 and 215.48 is: 471.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.39 : 215.48 = 215.48 : x
  2. Step 2: Convert to fraction form
    98.39/215.48 = 215.48/x
  3. Step 3: Cross multiply
    98.39x = 215.48 × 215.48
  4. Step 4: Simplify right side
    98.39x = 46,433.52
  5. Step 5: Solve for x
    x = 46,433.52/98.39
  6. Step 6: Final answer
    x = 471.93

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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.