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Finding the Third Proportional to 45.77 and 98.19

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Solution

The third proportional to 45.77 and 98.19 is: 210.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.77 : 98.19 = 98.19 : x
  2. Step 2: Convert to fraction form
    45.77/98.19 = 98.19/x
  3. Step 3: Cross multiply
    45.77x = 98.19 × 98.19
  4. Step 4: Simplify right side
    45.77x = 9,641.55
  5. Step 5: Solve for x
    x = 9,641.55/45.77
  6. Step 6: Final answer
    x = 210.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.