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Finding the Third Proportional to 98,209.97 and 214,411.43

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Solution

The third proportional to 98,209.97 and 214,411.43 is: 468,101.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,209.97 : 214,411.43 = 214,411.43 : x
  2. Step 2: Convert to fraction form
    98,209.97/214,411.43 = 214,411.43/x
  3. Step 3: Cross multiply
    98,209.97x = 214,411.43 × 214,411.43
  4. Step 4: Simplify right side
    98,209.97x = 45,972,261,180.64
  5. Step 5: Solve for x
    x = 45,972,261,180.64/98,209.97
  6. Step 6: Final answer
    x = 468,101.78

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.