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Finding the Third Proportional to 146,210.06 and 220,044.09

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Solution

The third proportional to 146,210.06 and 220,044.09 is: 331,163.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,210.06 : 220,044.09 = 220,044.09 : x
  2. Step 2: Convert to fraction form
    146,210.06/220,044.09 = 220,044.09/x
  3. Step 3: Cross multiply
    146,210.06x = 220,044.09 × 220,044.09
  4. Step 4: Simplify right side
    146,210.06x = 48,419,403,194.26
  5. Step 5: Solve for x
    x = 48,419,403,194.26/146,210.06
  6. Step 6: Final answer
    x = 331,163.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.