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Finding the Third Proportional to 99,596 and 214,296

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Solution

The third proportional to 99,596 and 214,296 is: 461,090.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,596 : 214,296 = 214,296 : x
  2. Step 2: Convert to fraction form
    99,596/214,296 = 214,296/x
  3. Step 3: Cross multiply
    99,596x = 214,296 × 214,296
  4. Step 4: Simplify right side
    99,596x = 45,922,775,616
  5. Step 5: Solve for x
    x = 45,922,775,616/99,596
  6. Step 6: Final answer
    x = 461,090.56

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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.