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Finding the Third Proportional to 96,891.75 and 212,879.25

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Solution

The third proportional to 96,891.75 and 212,879.25 is: 467,713.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,891.75 : 212,879.25 = 212,879.25 : x
  2. Step 2: Convert to fraction form
    96,891.75/212,879.25 = 212,879.25/x
  3. Step 3: Cross multiply
    96,891.75x = 212,879.25 × 212,879.25
  4. Step 4: Simplify right side
    96,891.75x = 45,317,575,080.56
  5. Step 5: Solve for x
    x = 45,317,575,080.56/96,891.75
  6. Step 6: Final answer
    x = 467,713.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.