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Finding the Third Proportional to 68,169.94 and 147,229.31

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Solution

The third proportional to 68,169.94 and 147,229.31 is: 317,976.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,169.94 : 147,229.31 = 147,229.31 : x
  2. Step 2: Convert to fraction form
    68,169.94/147,229.31 = 147,229.31/x
  3. Step 3: Cross multiply
    68,169.94x = 147,229.31 × 147,229.31
  4. Step 4: Simplify right side
    68,169.94x = 21,676,470,459.22
  5. Step 5: Solve for x
    x = 21,676,470,459.22/68,169.94
  6. Step 6: Final answer
    x = 317,976.97

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.