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Finding the Third Proportional to 85,443.61 and 184,034.53

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Solution

The third proportional to 85,443.61 and 184,034.53 is: 396,386.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,443.61 : 184,034.53 = 184,034.53 : x
  2. Step 2: Convert to fraction form
    85,443.61/184,034.53 = 184,034.53/x
  3. Step 3: Cross multiply
    85,443.61x = 184,034.53 × 184,034.53
  4. Step 4: Simplify right side
    85,443.61x = 33,868,708,692.41
  5. Step 5: Solve for x
    x = 33,868,708,692.41/85,443.61
  6. Step 6: Final answer
    x = 396,386.68

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.