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Finding the Third Proportional to 42,309.84 and 92,000.81

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Solution

The third proportional to 42,309.84 and 92,000.81 is: 200,051.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,309.84 : 92,000.81 = 92,000.81 : x
  2. Step 2: Convert to fraction form
    42,309.84/92,000.81 = 92,000.81/x
  3. Step 3: Cross multiply
    42,309.84x = 92,000.81 × 92,000.81
  4. Step 4: Simplify right side
    42,309.84x = 8,464,149,500.66
  5. Step 5: Solve for x
    x = 8,464,149,500.66/42,309.84
  6. Step 6: Final answer
    x = 200,051.54

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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.