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Finding the Third Proportional to 86,463.75 and 189,330

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Solution

The third proportional to 86,463.75 and 189,330 is: 414,576.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,463.75 : 189,330 = 189,330 : x
  2. Step 2: Convert to fraction form
    86,463.75/189,330 = 189,330/x
  3. Step 3: Cross multiply
    86,463.75x = 189,330 × 189,330
  4. Step 4: Simplify right side
    86,463.75x = 35,845,848,900
  5. Step 5: Solve for x
    x = 35,845,848,900/86,463.75
  6. Step 6: Final answer
    x = 414,576.62

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.