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Finding the Third Proportional to 86,622 and 188,040

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Solution

The third proportional to 86,622 and 188,040 is: 408,199.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,622 : 188,040 = 188,040 : x
  2. Step 2: Convert to fraction form
    86,622/188,040 = 188,040/x
  3. Step 3: Cross multiply
    86,622x = 188,040 × 188,040
  4. Step 4: Simplify right side
    86,622x = 35,359,041,600
  5. Step 5: Solve for x
    x = 35,359,041,600/86,622
  6. Step 6: Final answer
    x = 408,199.32

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.