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Finding the Third Proportional to 84,613.13 and 184,404.38

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Solution

The third proportional to 84,613.13 and 184,404.38 is: 401,887.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,613.13 : 184,404.38 = 184,404.38 : x
  2. Step 2: Convert to fraction form
    84,613.13/184,404.38 = 184,404.38/x
  3. Step 3: Cross multiply
    84,613.13x = 184,404.38 × 184,404.38
  4. Step 4: Simplify right side
    84,613.13x = 34,004,973,519.14
  5. Step 5: Solve for x
    x = 34,004,973,519.14/84,613.13
  6. Step 6: Final answer
    x = 401,887.69

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