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Finding the Third Proportional to 96,395 and 204,453

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Solution

The third proportional to 96,395 and 204,453 is: 433,643.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,395 : 204,453 = 204,453 : x
  2. Step 2: Convert to fraction form
    96,395/204,453 = 204,453/x
  3. Step 3: Cross multiply
    96,395x = 204,453 × 204,453
  4. Step 4: Simplify right side
    96,395x = 41,801,029,209
  5. Step 5: Solve for x
    x = 41,801,029,209/96,395
  6. Step 6: Final answer
    x = 433,643.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.