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Finding the Third Proportional to 83,888 and 186,424

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Solution

The third proportional to 83,888 and 186,424 is: 414,289.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,888 : 186,424 = 186,424 : x
  2. Step 2: Convert to fraction form
    83,888/186,424 = 186,424/x
  3. Step 3: Cross multiply
    83,888x = 186,424 × 186,424
  4. Step 4: Simplify right side
    83,888x = 34,753,907,776
  5. Step 5: Solve for x
    x = 34,753,907,776/83,888
  6. Step 6: Final answer
    x = 414,289.38

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.