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Finding the Third Proportional to 42,338.95 and 92,059.03

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Solution

The third proportional to 42,338.95 and 92,059.03 is: 200,167.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,338.95 : 92,059.03 = 92,059.03 : x
  2. Step 2: Convert to fraction form
    42,338.95/92,059.03 = 92,059.03/x
  3. Step 3: Cross multiply
    42,338.95x = 92,059.03 × 92,059.03
  4. Step 4: Simplify right side
    42,338.95x = 8,474,865,234.69
  5. Step 5: Solve for x
    x = 8,474,865,234.69/42,338.95
  6. Step 6: Final answer
    x = 200,167.09

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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.