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Finding the Third Proportional to 86,438 and 188,020

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Solution

The third proportional to 86,438 and 188,020 is: 408,981.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,438 : 188,020 = 188,020 : x
  2. Step 2: Convert to fraction form
    86,438/188,020 = 188,020/x
  3. Step 3: Cross multiply
    86,438x = 188,020 × 188,020
  4. Step 4: Simplify right side
    86,438x = 35,351,520,400
  5. Step 5: Solve for x
    x = 35,351,520,400/86,438
  6. Step 6: Final answer
    x = 408,981.24

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Why These Related Problems?

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