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Finding the Third Proportional to 98,224 and 214,439

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Solution

The third proportional to 98,224 and 214,439 is: 468,155.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,224 : 214,439 = 214,439 : x
  2. Step 2: Convert to fraction form
    98,224/214,439 = 214,439/x
  3. Step 3: Cross multiply
    98,224x = 214,439 × 214,439
  4. Step 4: Simplify right side
    98,224x = 45,984,084,721
  5. Step 5: Solve for x
    x = 45,984,084,721/98,224
  6. Step 6: Final answer
    x = 468,155.29

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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.