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Finding the Third Proportional to 87,478.59 and 178,648.03

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Solution

The third proportional to 87,478.59 and 178,648.03 is: 364,833.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,478.59 : 178,648.03 = 178,648.03 : x
  2. Step 2: Convert to fraction form
    87,478.59/178,648.03 = 178,648.03/x
  3. Step 3: Cross multiply
    87,478.59x = 178,648.03 × 178,648.03
  4. Step 4: Simplify right side
    87,478.59x = 31,915,119,069.50
  5. Step 5: Solve for x
    x = 31,915,119,069.50/87,478.59
  6. Step 6: Final answer
    x = 364,833.47

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.