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Finding the Third Proportional to 84,471.75 and 183,640.50

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Solution

The third proportional to 84,471.75 and 183,640.50 is: 399,232.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,471.75 : 183,640.50 = 183,640.50 : x
  2. Step 2: Convert to fraction form
    84,471.75/183,640.50 = 183,640.50/x
  3. Step 3: Cross multiply
    84,471.75x = 183,640.50 × 183,640.50
  4. Step 4: Simplify right side
    84,471.75x = 33,723,833,240.25
  5. Step 5: Solve for x
    x = 33,723,833,240.25/84,471.75
  6. Step 6: Final answer
    x = 399,232.09

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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.