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Finding the Third Proportional to 93,669 and 203,964

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Solution

The third proportional to 93,669 and 203,964 is: 444,131.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,669 : 203,964 = 203,964 : x
  2. Step 2: Convert to fraction form
    93,669/203,964 = 203,964/x
  3. Step 3: Cross multiply
    93,669x = 203,964 × 203,964
  4. Step 4: Simplify right side
    93,669x = 41,601,313,296
  5. Step 5: Solve for x
    x = 41,601,313,296/93,669
  6. Step 6: Final answer
    x = 444,131.07

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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.