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Finding the Third Proportional to 96,916 and 202,616

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Solution

The third proportional to 96,916 and 202,616 is: 423,596.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,916 : 202,616 = 202,616 : x
  2. Step 2: Convert to fraction form
    96,916/202,616 = 202,616/x
  3. Step 3: Cross multiply
    96,916x = 202,616 × 202,616
  4. Step 4: Simplify right side
    96,916x = 41,053,243,456
  5. Step 5: Solve for x
    x = 41,053,243,456/96,916
  6. Step 6: Final answer
    x = 423,596.14

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.