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Finding the Third Proportional to 96,998 and 209,287

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Solution

The third proportional to 96,998 and 209,287 is: 451,566.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,998 : 209,287 = 209,287 : x
  2. Step 2: Convert to fraction form
    96,998/209,287 = 209,287/x
  3. Step 3: Cross multiply
    96,998x = 209,287 × 209,287
  4. Step 4: Simplify right side
    96,998x = 43,801,048,369
  5. Step 5: Solve for x
    x = 43,801,048,369/96,998
  6. Step 6: Final answer
    x = 451,566.51

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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.