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Finding the Third Proportional to 93,664 and 203,954

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Solution

The third proportional to 93,664 and 203,954 is: 444,111.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,664 : 203,954 = 203,954 : x
  2. Step 2: Convert to fraction form
    93,664/203,954 = 203,954/x
  3. Step 3: Cross multiply
    93,664x = 203,954 × 203,954
  4. Step 4: Simplify right side
    93,664x = 41,597,234,116
  5. Step 5: Solve for x
    x = 41,597,234,116/93,664
  6. Step 6: Final answer
    x = 444,111.23

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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.