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Finding the Third Proportional to 83,232.94 and 183,432.56

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Solution

The third proportional to 83,232.94 and 183,432.56 is: 404,257.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,232.94 : 183,432.56 = 183,432.56 : x
  2. Step 2: Convert to fraction form
    83,232.94/183,432.56 = 183,432.56/x
  3. Step 3: Cross multiply
    83,232.94x = 183,432.56 × 183,432.56
  4. Step 4: Simplify right side
    83,232.94x = 33,647,504,985.32
  5. Step 5: Solve for x
    x = 33,647,504,985.32/83,232.94
  6. Step 6: Final answer
    x = 404,257.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.