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Finding the Third Proportional to 150,510,900 and 219,956,424

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Solution

The third proportional to 150,510,900 and 219,956,424 is: 321,444,018.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,510,900 : 219,956,424 = 219,956,424 : x
  2. Step 2: Convert to fraction form
    150,510,900/219,956,424 = 219,956,424/x
  3. Step 3: Cross multiply
    150,510,900x = 219,956,424 × 219,956,424
  4. Step 4: Simplify right side
    150,510,900x = 48,380,828,458,867,776
  5. Step 5: Solve for x
    x = 48,380,828,458,867,776/150,510,900
  6. Step 6: Final answer
    x = 321,444,018.07

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.