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Finding the Third Proportional to 73,399.29 and 156,412.27

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Solution

The third proportional to 73,399.29 and 156,412.27 is: 333,311.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,399.29 : 156,412.27 = 156,412.27 : x
  2. Step 2: Convert to fraction form
    73,399.29/156,412.27 = 156,412.27/x
  3. Step 3: Cross multiply
    73,399.29x = 156,412.27 × 156,412.27
  4. Step 4: Simplify right side
    73,399.29x = 24,464,796,837.95
  5. Step 5: Solve for x
    x = 24,464,796,837.95/73,399.29
  6. Step 6: Final answer
    x = 333,311.09

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.