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Finding the Third Proportional to 93,494 and 203,909

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Solution

The third proportional to 93,494 and 203,909 is: 444,722.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,494 : 203,909 = 203,909 : x
  2. Step 2: Convert to fraction form
    93,494/203,909 = 203,909/x
  3. Step 3: Cross multiply
    93,494x = 203,909 × 203,909
  4. Step 4: Simplify right side
    93,494x = 41,578,880,281
  5. Step 5: Solve for x
    x = 41,578,880,281/93,494
  6. Step 6: Final answer
    x = 444,722.45

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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.