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Finding the Third Proportional to 99,245.25 and 215,165.25

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Solution

The third proportional to 99,245.25 and 215,165.25 is: 466,481.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,245.25 : 215,165.25 = 215,165.25 : x
  2. Step 2: Convert to fraction form
    99,245.25/215,165.25 = 215,165.25/x
  3. Step 3: Cross multiply
    99,245.25x = 215,165.25 × 215,165.25
  4. Step 4: Simplify right side
    99,245.25x = 46,296,084,807.56
  5. Step 5: Solve for x
    x = 46,296,084,807.56/99,245.25
  6. Step 6: Final answer
    x = 466,481.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.