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Finding the Third Proportional to 86,864.91 and 188,389.55

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Solution

The third proportional to 86,864.91 and 188,389.55 is: 408,572.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,864.91 : 188,389.55 = 188,389.55 : x
  2. Step 2: Convert to fraction form
    86,864.91/188,389.55 = 188,389.55/x
  3. Step 3: Cross multiply
    86,864.91x = 188,389.55 × 188,389.55
  4. Step 4: Simplify right side
    86,864.91x = 35,490,621,371.77
  5. Step 5: Solve for x
    x = 35,490,621,371.77/86,864.91
  6. Step 6: Final answer
    x = 408,572.61

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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.