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Finding the Third Proportional to 230,100.75 and 471,619.97

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Solution

The third proportional to 230,100.75 and 471,619.97 is: 966,643.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,100.75 : 471,619.97 = 471,619.97 : x
  2. Step 2: Convert to fraction form
    230,100.75/471,619.97 = 471,619.97/x
  3. Step 3: Cross multiply
    230,100.75x = 471,619.97 × 471,619.97
  4. Step 4: Simplify right side
    230,100.75x = 222,425,394,923.75
  5. Step 5: Solve for x
    x = 222,425,394,923.75/230,100.75
  6. Step 6: Final answer
    x = 966,643.50

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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.