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Finding the Third Proportional to 96,296 and 209,488

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Solution

The third proportional to 96,296 and 209,488 is: 455,732.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,296 : 209,488 = 209,488 : x
  2. Step 2: Convert to fraction form
    96,296/209,488 = 209,488/x
  3. Step 3: Cross multiply
    96,296x = 209,488 × 209,488
  4. Step 4: Simplify right side
    96,296x = 43,885,222,144
  5. Step 5: Solve for x
    x = 43,885,222,144/96,296
  6. Step 6: Final answer
    x = 455,732.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.