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Finding the Third Proportional to 40,886 and 83,320.50

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Solution

The third proportional to 40,886 and 83,320.50 is: 169,796.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,886 : 83,320.50 = 83,320.50 : x
  2. Step 2: Convert to fraction form
    40,886/83,320.50 = 83,320.50/x
  3. Step 3: Cross multiply
    40,886x = 83,320.50 × 83,320.50
  4. Step 4: Simplify right side
    40,886x = 6,942,305,720.25
  5. Step 5: Solve for x
    x = 6,942,305,720.25/40,886
  6. Step 6: Final answer
    x = 169,796.65

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.