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Finding the Third Proportional to 93,766 and 195,305

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Solution

The third proportional to 93,766 and 195,305 is: 406,800.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,766 : 195,305 = 195,305 : x
  2. Step 2: Convert to fraction form
    93,766/195,305 = 195,305/x
  3. Step 3: Cross multiply
    93,766x = 195,305 × 195,305
  4. Step 4: Simplify right side
    93,766x = 38,144,043,025
  5. Step 5: Solve for x
    x = 38,144,043,025/93,766
  6. Step 6: Final answer
    x = 406,800.37

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.