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Finding the Third Proportional to 85,222.69 and 184,549.50

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Solution

The third proportional to 85,222.69 and 184,549.50 is: 399,641.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,222.69 : 184,549.50 = 184,549.50 : x
  2. Step 2: Convert to fraction form
    85,222.69/184,549.50 = 184,549.50/x
  3. Step 3: Cross multiply
    85,222.69x = 184,549.50 × 184,549.50
  4. Step 4: Simplify right side
    85,222.69x = 34,058,517,950.25
  5. Step 5: Solve for x
    x = 34,058,517,950.25/85,222.69
  6. Step 6: Final answer
    x = 399,641.44

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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.