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Finding the Third Proportional to 98.63 and 146.44

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Solution

The third proportional to 98.63 and 146.44 is: 217.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.63 : 146.44 = 146.44 : x
  2. Step 2: Convert to fraction form
    98.63/146.44 = 146.44/x
  3. Step 3: Cross multiply
    98.63x = 146.44 × 146.44
  4. Step 4: Simplify right side
    98.63x = 21,443.94
  5. Step 5: Solve for x
    x = 21,443.94/98.63
  6. Step 6: Final answer
    x = 217.43

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.