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Finding the Third Proportional to 91,771.75 and 188,485.25

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Solution

The third proportional to 91,771.75 and 188,485.25 is: 387,120.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,771.75 : 188,485.25 = 188,485.25 : x
  2. Step 2: Convert to fraction form
    91,771.75/188,485.25 = 188,485.25/x
  3. Step 3: Cross multiply
    91,771.75x = 188,485.25 × 188,485.25
  4. Step 4: Simplify right side
    91,771.75x = 35,526,689,467.56
  5. Step 5: Solve for x
    x = 35,526,689,467.56/91,771.75
  6. Step 6: Final answer
    x = 387,120.10

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.