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Finding the Third Proportional to 86,044.50 and 189,108

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Solution

The third proportional to 86,044.50 and 189,108 is: 415,620.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,044.50 : 189,108 = 189,108 : x
  2. Step 2: Convert to fraction form
    86,044.50/189,108 = 189,108/x
  3. Step 3: Cross multiply
    86,044.50x = 189,108 × 189,108
  4. Step 4: Simplify right side
    86,044.50x = 35,761,835,664
  5. Step 5: Solve for x
    x = 35,761,835,664/86,044.50
  6. Step 6: Final answer
    x = 415,620.24

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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.