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Finding the Third Proportional to 84,612.09 and 184,404.09

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Solution

The third proportional to 84,612.09 and 184,404.09 is: 401,891.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,612.09 : 184,404.09 = 184,404.09 : x
  2. Step 2: Convert to fraction form
    84,612.09/184,404.09 = 184,404.09/x
  3. Step 3: Cross multiply
    84,612.09x = 184,404.09 × 184,404.09
  4. Step 4: Simplify right side
    84,612.09x = 34,004,869,791.76
  5. Step 5: Solve for x
    x = 34,004,869,791.76/84,612.09
  6. Step 6: Final answer
    x = 401,891.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.