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Finding the Third Proportional to 154,787,904 and 223,757,424

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Solution

The third proportional to 154,787,904 and 223,757,424 is: 323,457,993.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,787,904 : 223,757,424 = 223,757,424 : x
  2. Step 2: Convert to fraction form
    154,787,904/223,757,424 = 223,757,424/x
  3. Step 3: Cross multiply
    154,787,904x = 223,757,424 × 223,757,424
  4. Step 4: Simplify right side
    154,787,904x = 50,067,384,795,115,776
  5. Step 5: Solve for x
    x = 50,067,384,795,115,776/154,787,904
  6. Step 6: Final answer
    x = 323,457,993.17

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.