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Finding the Third Proportional to 84,612.41 and 184,402.83

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Solution

The third proportional to 84,612.41 and 184,402.83 is: 401,884.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,612.41 : 184,402.83 = 184,402.83 : x
  2. Step 2: Convert to fraction form
    84,612.41/184,402.83 = 184,402.83/x
  3. Step 3: Cross multiply
    84,612.41x = 184,402.83 × 184,402.83
  4. Step 4: Simplify right side
    84,612.41x = 34,004,403,020.50
  5. Step 5: Solve for x
    x = 34,004,403,020.50/84,612.41
  6. Step 6: Final answer
    x = 401,884.34

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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.