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Finding the Third Proportional to 69,138.38 and 150,790.88

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Solution

The third proportional to 69,138.38 and 150,790.88 is: 328,875.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,138.38 : 150,790.88 = 150,790.88 : x
  2. Step 2: Convert to fraction form
    69,138.38/150,790.88 = 150,790.88/x
  3. Step 3: Cross multiply
    69,138.38x = 150,790.88 × 150,790.88
  4. Step 4: Simplify right side
    69,138.38x = 22,737,887,983.27
  5. Step 5: Solve for x
    x = 22,737,887,983.27/69,138.38
  6. Step 6: Final answer
    x = 328,875.07

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.