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Finding the Third Proportional to 35,490.91 and 78,183.22

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Solution

The third proportional to 35,490.91 and 78,183.22 is: 172,230.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,490.91 : 78,183.22 = 78,183.22 : x
  2. Step 2: Convert to fraction form
    35,490.91/78,183.22 = 78,183.22/x
  3. Step 3: Cross multiply
    35,490.91x = 78,183.22 × 78,183.22
  4. Step 4: Simplify right side
    35,490.91x = 6,112,615,694.11
  5. Step 5: Solve for x
    x = 6,112,615,694.11/35,490.91
  6. Step 6: Final answer
    x = 172,230.48

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.