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Finding the Third Proportional to 137,138.06 and 218,991.09

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Solution

The third proportional to 137,138.06 and 218,991.09 is: 349,699.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,138.06 : 218,991.09 = 218,991.09 : x
  2. Step 2: Convert to fraction form
    137,138.06/218,991.09 = 218,991.09/x
  3. Step 3: Cross multiply
    137,138.06x = 218,991.09 × 218,991.09
  4. Step 4: Simplify right side
    137,138.06x = 47,957,099,141.82
  5. Step 5: Solve for x
    x = 47,957,099,141.82/137,138.06
  6. Step 6: Final answer
    x = 349,699.41

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.