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Finding the Third Proportional to 93,632 and 204,782

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Solution

The third proportional to 93,632 and 204,782 is: 447,877.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,632 : 204,782 = 204,782 : x
  2. Step 2: Convert to fraction form
    93,632/204,782 = 204,782/x
  3. Step 3: Cross multiply
    93,632x = 204,782 × 204,782
  4. Step 4: Simplify right side
    93,632x = 41,935,667,524
  5. Step 5: Solve for x
    x = 41,935,667,524/93,632
  6. Step 6: Final answer
    x = 447,877.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.