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Finding the Third Proportional to 86,439 and 188,022

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Solution

The third proportional to 86,439 and 188,022 is: 408,985.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,439 : 188,022 = 188,022 : x
  2. Step 2: Convert to fraction form
    86,439/188,022 = 188,022/x
  3. Step 3: Cross multiply
    86,439x = 188,022 × 188,022
  4. Step 4: Simplify right side
    86,439x = 35,352,272,484
  5. Step 5: Solve for x
    x = 35,352,272,484/86,439
  6. Step 6: Final answer
    x = 408,985.21

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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.