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Finding the Third Proportional to 69,813.77 and 150,696.70

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Solution

The third proportional to 69,813.77 and 150,696.70 is: 325,286.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,813.77 : 150,696.70 = 150,696.70 : x
  2. Step 2: Convert to fraction form
    69,813.77/150,696.70 = 150,696.70/x
  3. Step 3: Cross multiply
    69,813.77x = 150,696.70 × 150,696.70
  4. Step 4: Simplify right side
    69,813.77x = 22,709,496,332.74
  5. Step 5: Solve for x
    x = 22,709,496,332.74/69,813.77
  6. Step 6: Final answer
    x = 325,286.76

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.