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Finding the Third Proportional to 91,015.31 and 142,463.81

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Solution

The third proportional to 91,015.31 and 142,463.81 is: 222,994.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,015.31 : 142,463.81 = 142,463.81 : x
  2. Step 2: Convert to fraction form
    91,015.31/142,463.81 = 142,463.81/x
  3. Step 3: Cross multiply
    91,015.31x = 142,463.81 × 142,463.81
  4. Step 4: Simplify right side
    91,015.31x = 20,295,937,872.04
  5. Step 5: Solve for x
    x = 20,295,937,872.04/91,015.31
  6. Step 6: Final answer
    x = 222,994.76

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.