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Finding the Third Proportional to 45.19 and 98.63

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Solution

The third proportional to 45.19 and 98.63 is: 215.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.19 : 98.63 = 98.63 : x
  2. Step 2: Convert to fraction form
    45.19/98.63 = 98.63/x
  3. Step 3: Cross multiply
    45.19x = 98.63 × 98.63
  4. Step 4: Simplify right side
    45.19x = 9,726.89
  5. Step 5: Solve for x
    x = 9,726.89/45.19
  6. Step 6: Final answer
    x = 215.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.