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Finding the Third Proportional to 96,244 and 214,360

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Solution

The third proportional to 96,244 and 214,360 is: 477,434.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,244 : 214,360 = 214,360 : x
  2. Step 2: Convert to fraction form
    96,244/214,360 = 214,360/x
  3. Step 3: Cross multiply
    96,244x = 214,360 × 214,360
  4. Step 4: Simplify right side
    96,244x = 45,950,209,600
  5. Step 5: Solve for x
    x = 45,950,209,600/96,244
  6. Step 6: Final answer
    x = 477,434.54

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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.