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Finding the Third Proportional to 96,789 and 208,407

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Solution

The third proportional to 96,789 and 208,407 is: 448,743.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,789 : 208,407 = 208,407 : x
  2. Step 2: Convert to fraction form
    96,789/208,407 = 208,407/x
  3. Step 3: Cross multiply
    96,789x = 208,407 × 208,407
  4. Step 4: Simplify right side
    96,789x = 43,433,477,649
  5. Step 5: Solve for x
    x = 43,433,477,649/96,789
  6. Step 6: Final answer
    x = 448,743.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.