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Finding the Third Proportional to 39,783.66 and 86,599.13

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Solution

The third proportional to 39,783.66 and 86,599.13 is: 188,504.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,783.66 : 86,599.13 = 86,599.13 : x
  2. Step 2: Convert to fraction form
    39,783.66/86,599.13 = 86,599.13/x
  3. Step 3: Cross multiply
    39,783.66x = 86,599.13 × 86,599.13
  4. Step 4: Simplify right side
    39,783.66x = 7,499,408,450.77
  5. Step 5: Solve for x
    x = 7,499,408,450.77/39,783.66
  6. Step 6: Final answer
    x = 188,504.76

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.