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Finding the Third Proportional to 154,322,780,048 and 332,291,850,244

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Solution

The third proportional to 154,322,780,048 and 332,291,850,244 is: 715,499,511,505.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,322,780,048 : 332,291,850,244 = 332,291,850,244 : x
  2. Step 2: Convert to fraction form
    154,322,780,048/332,291,850,244 = 332,291,850,244/x
  3. Step 3: Cross multiply
    154,322,780,048x = 332,291,850,244 × 332,291,850,244
  4. Step 4: Simplify right side
    154,322,780,048x = 110,417,873,738,580,921,155,584
  5. Step 5: Solve for x
    x = 110,417,873,738,580,921,155,584/154,322,780,048
  6. Step 6: Final answer
    x = 715,499,511,505.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.