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Finding the Third Proportional to 84,885.75 and 184,532.63

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Solution

The third proportional to 84,885.75 and 184,532.63 is: 401,154.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,885.75 : 184,532.63 = 184,532.63 : x
  2. Step 2: Convert to fraction form
    84,885.75/184,532.63 = 184,532.63/x
  3. Step 3: Cross multiply
    84,885.75x = 184,532.63 × 184,532.63
  4. Step 4: Simplify right side
    84,885.75x = 34,052,289,689.39
  5. Step 5: Solve for x
    x = 34,052,289,689.39/84,885.75
  6. Step 6: Final answer
    x = 401,154.37

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.