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Finding the Third Proportional to 42,306.05 and 92,202.05

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Solution

The third proportional to 42,306.05 and 92,202.05 is: 200,945.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,306.05 : 92,202.05 = 92,202.05 : x
  2. Step 2: Convert to fraction form
    42,306.05/92,202.05 = 92,202.05/x
  3. Step 3: Cross multiply
    42,306.05x = 92,202.05 × 92,202.05
  4. Step 4: Simplify right side
    42,306.05x = 8,501,217,447.94
  5. Step 5: Solve for x
    x = 8,501,217,447.94/42,306.05
  6. Step 6: Final answer
    x = 200,945.68

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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.