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Finding the Third Proportional to 99,467.16 and 203,530.22

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Solution

The third proportional to 99,467.16 and 203,530.22 is: 416,464.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,467.16 : 203,530.22 = 203,530.22 : x
  2. Step 2: Convert to fraction form
    99,467.16/203,530.22 = 203,530.22/x
  3. Step 3: Cross multiply
    99,467.16x = 203,530.22 × 203,530.22
  4. Step 4: Simplify right side
    99,467.16x = 41,424,549,944.42
  5. Step 5: Solve for x
    x = 41,424,549,944.42/99,467.16
  6. Step 6: Final answer
    x = 416,464.61

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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.