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Finding the Third Proportional to 98,474.25 and 214,771.50

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Solution

The third proportional to 98,474.25 and 214,771.50 is: 468,414.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,474.25 : 214,771.50 = 214,771.50 : x
  2. Step 2: Convert to fraction form
    98,474.25/214,771.50 = 214,771.50/x
  3. Step 3: Cross multiply
    98,474.25x = 214,771.50 × 214,771.50
  4. Step 4: Simplify right side
    98,474.25x = 46,126,797,212.25
  5. Step 5: Solve for x
    x = 46,126,797,212.25/98,474.25
  6. Step 6: Final answer
    x = 468,414.81

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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.