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Finding the Third Proportional to 96,342 and 204,348

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Solution

The third proportional to 96,342 and 204,348 is: 433,436.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,342 : 204,348 = 204,348 : x
  2. Step 2: Convert to fraction form
    96,342/204,348 = 204,348/x
  3. Step 3: Cross multiply
    96,342x = 204,348 × 204,348
  4. Step 4: Simplify right side
    96,342x = 41,758,105,104
  5. Step 5: Solve for x
    x = 41,758,105,104/96,342
  6. Step 6: Final answer
    x = 433,436.15

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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.