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Finding the Third Proportional to 239,870,983.50 and 362,758,924.50

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Solution

The third proportional to 239,870,983.50 and 362,758,924.50 is: 548,603,400.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,870,983.50 : 362,758,924.50 = 362,758,924.50 : x
  2. Step 2: Convert to fraction form
    239,870,983.50/362,758,924.50 = 362,758,924.50/x
  3. Step 3: Cross multiply
    239,870,983.50x = 362,758,924.50 × 362,758,924.50
  4. Step 4: Simplify right side
    239,870,983.50x = 131,594,037,304,396,704
  5. Step 5: Solve for x
    x = 131,594,037,304,396,704/239,870,983.50
  6. Step 6: Final answer
    x = 548,603,400.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.