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Finding the Third Proportional to 41,616.50 and 91,716.25

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Solution

The third proportional to 41,616.50 and 91,716.25 is: 202,128.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,616.50 : 91,716.25 = 91,716.25 : x
  2. Step 2: Convert to fraction form
    41,616.50/91,716.25 = 91,716.25/x
  3. Step 3: Cross multiply
    41,616.50x = 91,716.25 × 91,716.25
  4. Step 4: Simplify right side
    41,616.50x = 8,411,870,514.06
  5. Step 5: Solve for x
    x = 8,411,870,514.06/41,616.50
  6. Step 6: Final answer
    x = 202,128.25

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.