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Finding the Third Proportional to 93,632 and 204,096

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Solution

The third proportional to 93,632 and 204,096 is: 444,881.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,632 : 204,096 = 204,096 : x
  2. Step 2: Convert to fraction form
    93,632/204,096 = 204,096/x
  3. Step 3: Cross multiply
    93,632x = 204,096 × 204,096
  4. Step 4: Simplify right side
    93,632x = 41,655,177,216
  5. Step 5: Solve for x
    x = 41,655,177,216/93,632
  6. Step 6: Final answer
    x = 444,881.85

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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.