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Finding the Third Proportional to 93,610.69 and 204,717.38

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Solution

The third proportional to 93,610.69 and 204,717.38 is: 447,696.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,610.69 : 204,717.38 = 204,717.38 : x
  2. Step 2: Convert to fraction form
    93,610.69/204,717.38 = 204,717.38/x
  3. Step 3: Cross multiply
    93,610.69x = 204,717.38 × 204,717.38
  4. Step 4: Simplify right side
    93,610.69x = 41,909,203,626.89
  5. Step 5: Solve for x
    x = 41,909,203,626.89/93,610.69
  6. Step 6: Final answer
    x = 447,696.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.