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Finding the Third Proportional to 96,554 and 202,338

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Solution

The third proportional to 96,554 and 202,338 is: 424,018.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,554 : 202,338 = 202,338 : x
  2. Step 2: Convert to fraction form
    96,554/202,338 = 202,338/x
  3. Step 3: Cross multiply
    96,554x = 202,338 × 202,338
  4. Step 4: Simplify right side
    96,554x = 40,940,666,244
  5. Step 5: Solve for x
    x = 40,940,666,244/96,554
  6. Step 6: Final answer
    x = 424,018.33

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.