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Finding the Third Proportional to 42,866.72 and 94,033.41

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Solution

The third proportional to 42,866.72 and 94,033.41 is: 206,273.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,866.72 : 94,033.41 = 94,033.41 : x
  2. Step 2: Convert to fraction form
    42,866.72/94,033.41 = 94,033.41/x
  3. Step 3: Cross multiply
    42,866.72x = 94,033.41 × 94,033.41
  4. Step 4: Simplify right side
    42,866.72x = 8,842,281,490.98
  5. Step 5: Solve for x
    x = 8,842,281,490.98/42,866.72
  6. Step 6: Final answer
    x = 206,273.81

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.