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Finding the Third Proportional to 86,661.21 and 189,271.09

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Solution

The third proportional to 86,661.21 and 189,271.09 is: 413,374.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,661.21 : 189,271.09 = 189,271.09 : x
  2. Step 2: Convert to fraction form
    86,661.21/189,271.09 = 189,271.09/x
  3. Step 3: Cross multiply
    86,661.21x = 189,271.09 × 189,271.09
  4. Step 4: Simplify right side
    86,661.21x = 35,823,545,450.64
  5. Step 5: Solve for x
    x = 35,823,545,450.64/86,661.21
  6. Step 6: Final answer
    x = 413,374.62

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.