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Finding the Third Proportional to 300,018,228.75 and 450,826,144.88

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Solution

The third proportional to 300,018,228.75 and 450,826,144.88 is: 677,439,546.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,018,228.75 : 450,826,144.88 = 450,826,144.88 : x
  2. Step 2: Convert to fraction form
    300,018,228.75/450,826,144.88 = 450,826,144.88/x
  3. Step 3: Cross multiply
    300,018,228.75x = 450,826,144.88 × 450,826,144.88
  4. Step 4: Simplify right side
    300,018,228.75x = 203,244,212,902,854,496
  5. Step 5: Solve for x
    x = 203,244,212,902,854,496/300,018,228.75
  6. Step 6: Final answer
    x = 677,439,546.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.