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Finding the Third Proportional to 31,336,288.50 and 68,726,023

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Solution

The third proportional to 31,336,288.50 and 68,726,023 is: 150,728,323.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,336,288.50 : 68,726,023 = 68,726,023 : x
  2. Step 2: Convert to fraction form
    31,336,288.50/68,726,023 = 68,726,023/x
  3. Step 3: Cross multiply
    31,336,288.50x = 68,726,023 × 68,726,023
  4. Step 4: Simplify right side
    31,336,288.50x = 4,723,266,237,396,529
  5. Step 5: Solve for x
    x = 4,723,266,237,396,529/31,336,288.50
  6. Step 6: Final answer
    x = 150,728,323.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.