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Finding the Third Proportional to 222,789.09 and 481,089.38

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Solution

The third proportional to 222,789.09 and 481,089.38 is: 1,038,861.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,789.09 : 481,089.38 = 481,089.38 : x
  2. Step 2: Convert to fraction form
    222,789.09/481,089.38 = 481,089.38/x
  3. Step 3: Cross multiply
    222,789.09x = 481,089.38 × 481,089.38
  4. Step 4: Simplify right side
    222,789.09x = 231,446,986,737.89
  5. Step 5: Solve for x
    x = 231,446,986,737.89/222,789.09
  6. Step 6: Final answer
    x = 1,038,861.39

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.