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Finding the Third Proportional to 84,276.94 and 181,060.78

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Solution

The third proportional to 84,276.94 and 181,060.78 is: 388,991.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,276.94 : 181,060.78 = 181,060.78 : x
  2. Step 2: Convert to fraction form
    84,276.94/181,060.78 = 181,060.78/x
  3. Step 3: Cross multiply
    84,276.94x = 181,060.78 × 181,060.78
  4. Step 4: Simplify right side
    84,276.94x = 32,783,006,506.86
  5. Step 5: Solve for x
    x = 32,783,006,506.86/84,276.94
  6. Step 6: Final answer
    x = 388,991.43

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.