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Finding the Third Proportional to 42,874.31 and 92,901.94

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Solution

The third proportional to 42,874.31 and 92,901.94 is: 201,303.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,874.31 : 92,901.94 = 92,901.94 : x
  2. Step 2: Convert to fraction form
    42,874.31/92,901.94 = 92,901.94/x
  3. Step 3: Cross multiply
    42,874.31x = 92,901.94 × 92,901.94
  4. Step 4: Simplify right side
    42,874.31x = 8,630,769,991.25
  5. Step 5: Solve for x
    x = 8,630,769,991.25/42,874.31
  6. Step 6: Final answer
    x = 201,303.99

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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.