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Finding the Third Proportional to 85,447.41 and 187,003.69

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Solution

The third proportional to 85,447.41 and 187,003.69 is: 409,262.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,447.41 : 187,003.69 = 187,003.69 : x
  2. Step 2: Convert to fraction form
    85,447.41/187,003.69 = 187,003.69/x
  3. Step 3: Cross multiply
    85,447.41x = 187,003.69 × 187,003.69
  4. Step 4: Simplify right side
    85,447.41x = 34,970,379,138.60
  5. Step 5: Solve for x
    x = 34,970,379,138.60/85,447.41
  6. Step 6: Final answer
    x = 409,262.03

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.