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Finding the Third Proportional to 135,836,794.13 and 211,826,449.69

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Solution

The third proportional to 135,836,794.13 and 211,826,449.69 is: 330,326,146.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,836,794.13 : 211,826,449.69 = 211,826,449.69 : x
  2. Step 2: Convert to fraction form
    135,836,794.13/211,826,449.69 = 211,826,449.69/x
  3. Step 3: Cross multiply
    135,836,794.13x = 211,826,449.69 × 211,826,449.69
  4. Step 4: Simplify right side
    135,836,794.13x = 44,870,444,787,210,968
  5. Step 5: Solve for x
    x = 44,870,444,787,210,968/135,836,794.13
  6. Step 6: Final answer
    x = 330,326,146.73

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.