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Finding the Third Proportional to 154,165,958.44 and 332,904,950.16

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Solution

The third proportional to 154,165,958.44 and 332,904,950.16 is: 718,872,745.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,165,958.44 : 332,904,950.16 = 332,904,950.16 : x
  2. Step 2: Convert to fraction form
    154,165,958.44/332,904,950.16 = 332,904,950.16/x
  3. Step 3: Cross multiply
    154,165,958.44x = 332,904,950.16 × 332,904,950.16
  4. Step 4: Simplify right side
    154,165,958.44x = 110,825,705,838,535,296
  5. Step 5: Solve for x
    x = 110,825,705,838,535,296/154,165,958.44
  6. Step 6: Final answer
    x = 718,872,745.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.