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Finding the Third Proportional to 51,116.91 and 104,781.94

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Solution

The third proportional to 51,116.91 and 104,781.94 is: 214,787.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,116.91 : 104,781.94 = 104,781.94 : x
  2. Step 2: Convert to fraction form
    51,116.91/104,781.94 = 104,781.94/x
  3. Step 3: Cross multiply
    51,116.91x = 104,781.94 × 104,781.94
  4. Step 4: Simplify right side
    51,116.91x = 10,979,254,426.25
  5. Step 5: Solve for x
    x = 10,979,254,426.25/51,116.91
  6. Step 6: Final answer
    x = 214,787.15

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.