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Finding the Third Proportional to 207,808,758 and 451,787,742

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Solution

The third proportional to 207,808,758 and 451,787,742 is: 982,211,557.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,808,758 : 451,787,742 = 451,787,742 : x
  2. Step 2: Convert to fraction form
    207,808,758/451,787,742 = 451,787,742/x
  3. Step 3: Cross multiply
    207,808,758x = 451,787,742 × 451,787,742
  4. Step 4: Simplify right side
    207,808,758x = 204,112,163,821,458,560
  5. Step 5: Solve for x
    x = 204,112,163,821,458,560/207,808,758
  6. Step 6: Final answer
    x = 982,211,557.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.