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Finding the Third Proportional to 96,383.25 and 208,856.25

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Solution

The third proportional to 96,383.25 and 208,856.25 is: 452,577.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,383.25 : 208,856.25 = 208,856.25 : x
  2. Step 2: Convert to fraction form
    96,383.25/208,856.25 = 208,856.25/x
  3. Step 3: Cross multiply
    96,383.25x = 208,856.25 × 208,856.25
  4. Step 4: Simplify right side
    96,383.25x = 43,620,933,164.06
  5. Step 5: Solve for x
    x = 43,620,933,164.06/96,383.25
  6. Step 6: Final answer
    x = 452,577.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.