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Finding the Third Proportional to 85,584.56 and 184,701.09

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Solution

The third proportional to 85,584.56 and 184,701.09 is: 398,605.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,584.56 : 184,701.09 = 184,701.09 : x
  2. Step 2: Convert to fraction form
    85,584.56/184,701.09 = 184,701.09/x
  3. Step 3: Cross multiply
    85,584.56x = 184,701.09 × 184,701.09
  4. Step 4: Simplify right side
    85,584.56x = 34,114,494,032.45
  5. Step 5: Solve for x
    x = 34,114,494,032.45/85,584.56
  6. Step 6: Final answer
    x = 398,605.70

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.