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Finding the Third Proportional to 42,856.59 and 92,863.97

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Solution

The third proportional to 42,856.59 and 92,863.97 is: 201,222.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,856.59 : 92,863.97 = 92,863.97 : x
  2. Step 2: Convert to fraction form
    42,856.59/92,863.97 = 92,863.97/x
  3. Step 3: Cross multiply
    42,856.59x = 92,863.97 × 92,863.97
  4. Step 4: Simplify right side
    42,856.59x = 8,623,716,692.00
  5. Step 5: Solve for x
    x = 8,623,716,692.00/42,856.59
  6. Step 6: Final answer
    x = 201,222.63

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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.