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Finding the Third Proportional to 68,811 and 143,863.50

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Solution

The third proportional to 68,811 and 143,863.50 is: 300,776.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,811 : 143,863.50 = 143,863.50 : x
  2. Step 2: Convert to fraction form
    68,811/143,863.50 = 143,863.50/x
  3. Step 3: Cross multiply
    68,811x = 143,863.50 × 143,863.50
  4. Step 4: Simplify right side
    68,811x = 20,696,706,632.25
  5. Step 5: Solve for x
    x = 20,696,706,632.25/68,811
  6. Step 6: Final answer
    x = 300,776.14

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.