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Finding the Third Proportional to 99,327 and 217,221

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Solution

The third proportional to 99,327 and 217,221 is: 475,046.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,327 : 217,221 = 217,221 : x
  2. Step 2: Convert to fraction form
    99,327/217,221 = 217,221/x
  3. Step 3: Cross multiply
    99,327x = 217,221 × 217,221
  4. Step 4: Simplify right side
    99,327x = 47,184,962,841
  5. Step 5: Solve for x
    x = 47,184,962,841/99,327
  6. Step 6: Final answer
    x = 475,046.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.