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Finding the Third Proportional to 96,793 and 208,895

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Solution

The third proportional to 96,793 and 208,895 is: 450,829.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,793 : 208,895 = 208,895 : x
  2. Step 2: Convert to fraction form
    96,793/208,895 = 208,895/x
  3. Step 3: Cross multiply
    96,793x = 208,895 × 208,895
  4. Step 4: Simplify right side
    96,793x = 43,637,121,025
  5. Step 5: Solve for x
    x = 43,637,121,025/96,793
  6. Step 6: Final answer
    x = 450,829.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.