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Finding the Third Proportional to 89,722 and 188,739.50

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Solution

The third proportional to 89,722 and 188,739.50 is: 397,033.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,722 : 188,739.50 = 188,739.50 : x
  2. Step 2: Convert to fraction form
    89,722/188,739.50 = 188,739.50/x
  3. Step 3: Cross multiply
    89,722x = 188,739.50 × 188,739.50
  4. Step 4: Simplify right side
    89,722x = 35,622,598,860.25
  5. Step 5: Solve for x
    x = 35,622,598,860.25/89,722
  6. Step 6: Final answer
    x = 397,033.04

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.