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Finding the Third Proportional to 96,292.50 and 214,713.75

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Solution

The third proportional to 96,292.50 and 214,713.75 is: 478,770.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,292.50 : 214,713.75 = 214,713.75 : x
  2. Step 2: Convert to fraction form
    96,292.50/214,713.75 = 214,713.75/x
  3. Step 3: Cross multiply
    96,292.50x = 214,713.75 × 214,713.75
  4. Step 4: Simplify right side
    96,292.50x = 46,101,994,439.06
  5. Step 5: Solve for x
    x = 46,101,994,439.06/96,292.50
  6. Step 6: Final answer
    x = 478,770.36

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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.