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Finding the Third Proportional to 83,933 and 181,270.50

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Solution

The third proportional to 83,933 and 181,270.50 is: 391,490.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,933 : 181,270.50 = 181,270.50 : x
  2. Step 2: Convert to fraction form
    83,933/181,270.50 = 181,270.50/x
  3. Step 3: Cross multiply
    83,933x = 181,270.50 × 181,270.50
  4. Step 4: Simplify right side
    83,933x = 32,858,994,170.25
  5. Step 5: Solve for x
    x = 32,858,994,170.25/83,933
  6. Step 6: Final answer
    x = 391,490.76

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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.