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Finding the Third Proportional to 93,861 and 204,245

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Solution

The third proportional to 93,861 and 204,245 is: 444,444.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,861 : 204,245 = 204,245 : x
  2. Step 2: Convert to fraction form
    93,861/204,245 = 204,245/x
  3. Step 3: Cross multiply
    93,861x = 204,245 × 204,245
  4. Step 4: Simplify right side
    93,861x = 41,716,020,025
  5. Step 5: Solve for x
    x = 41,716,020,025/93,861
  6. Step 6: Final answer
    x = 444,444.66

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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.