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Finding the Third Proportional to 99,884.75 and 214,591.50

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Solution

The third proportional to 99,884.75 and 214,591.50 is: 461,026.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,884.75 : 214,591.50 = 214,591.50 : x
  2. Step 2: Convert to fraction form
    99,884.75/214,591.50 = 214,591.50/x
  3. Step 3: Cross multiply
    99,884.75x = 214,591.50 × 214,591.50
  4. Step 4: Simplify right side
    99,884.75x = 46,049,511,872.25
  5. Step 5: Solve for x
    x = 46,049,511,872.25/99,884.75
  6. Step 6: Final answer
    x = 461,026.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.