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Finding the Third Proportional to 96,290.25 and 214,709.25

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Solution

The third proportional to 96,290.25 and 214,709.25 is: 478,761.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,290.25 : 214,709.25 = 214,709.25 : x
  2. Step 2: Convert to fraction form
    96,290.25/214,709.25 = 214,709.25/x
  3. Step 3: Cross multiply
    96,290.25x = 214,709.25 × 214,709.25
  4. Step 4: Simplify right side
    96,290.25x = 46,100,062,035.56
  5. Step 5: Solve for x
    x = 46,100,062,035.56/96,290.25
  6. Step 6: Final answer
    x = 478,761.47

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.