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Finding the Third Proportional to 93,813 and 204,148

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Solution

The third proportional to 93,813 and 204,148 is: 444,249.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,813 : 204,148 = 204,148 : x
  2. Step 2: Convert to fraction form
    93,813/204,148 = 204,148/x
  3. Step 3: Cross multiply
    93,813x = 204,148 × 204,148
  4. Step 4: Simplify right side
    93,813x = 41,676,405,904
  5. Step 5: Solve for x
    x = 41,676,405,904/93,813
  6. Step 6: Final answer
    x = 444,249.79

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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.