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Finding the Third Proportional to 218,485,760.50 and 468,135,508.50

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Solution

The third proportional to 218,485,760.50 and 468,135,508.50 is: 1,003,044,106.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,485,760.50 : 468,135,508.50 = 468,135,508.50 : x
  2. Step 2: Convert to fraction form
    218,485,760.50/468,135,508.50 = 468,135,508.50/x
  3. Step 3: Cross multiply
    218,485,760.50x = 468,135,508.50 × 468,135,508.50
  4. Step 4: Simplify right side
    218,485,760.50x = 219,150,854,318,553,568
  5. Step 5: Solve for x
    x = 219,150,854,318,553,568/218,485,760.50
  6. Step 6: Final answer
    x = 1,003,044,106.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.