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Finding the Third Proportional to 159,089 and 222,991

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Solution

The third proportional to 159,089 and 222,991 is: 312,560.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,089 : 222,991 = 222,991 : x
  2. Step 2: Convert to fraction form
    159,089/222,991 = 222,991/x
  3. Step 3: Cross multiply
    159,089x = 222,991 × 222,991
  4. Step 4: Simplify right side
    159,089x = 49,724,986,081
  5. Step 5: Solve for x
    x = 49,724,986,081/159,089
  6. Step 6: Final answer
    x = 312,560.81

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.