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Finding the Third Proportional to 96,847 and 208,984

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Solution

The third proportional to 96,847 and 208,984 is: 450,961.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,847 : 208,984 = 208,984 : x
  2. Step 2: Convert to fraction form
    96,847/208,984 = 208,984/x
  3. Step 3: Cross multiply
    96,847x = 208,984 × 208,984
  4. Step 4: Simplify right side
    96,847x = 43,674,312,256
  5. Step 5: Solve for x
    x = 43,674,312,256/96,847
  6. Step 6: Final answer
    x = 450,961.95

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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.