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Finding the Third Proportional to 99,245.25 and 203,755.50

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Solution

The third proportional to 99,245.25 and 203,755.50 is: 418,320.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,245.25 : 203,755.50 = 203,755.50 : x
  2. Step 2: Convert to fraction form
    99,245.25/203,755.50 = 203,755.50/x
  3. Step 3: Cross multiply
    99,245.25x = 203,755.50 × 203,755.50
  4. Step 4: Simplify right side
    99,245.25x = 41,516,303,780.25
  5. Step 5: Solve for x
    x = 41,516,303,780.25/99,245.25
  6. Step 6: Final answer
    x = 418,320.31

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.