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Finding the Third Proportional to 321,930,163.13 and 697,342,213.13

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Solution

The third proportional to 321,930,163.13 and 697,342,213.13 is: 1,510,533,084.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,930,163.13 : 697,342,213.13 = 697,342,213.13 : x
  2. Step 2: Convert to fraction form
    321,930,163.13/697,342,213.13 = 697,342,213.13/x
  3. Step 3: Cross multiply
    321,930,163.13x = 697,342,213.13 × 697,342,213.13
  4. Step 4: Simplify right side
    321,930,163.13x = 486,286,162,206,072,896
  5. Step 5: Solve for x
    x = 486,286,162,206,072,896/321,930,163.13
  6. Step 6: Final answer
    x = 1,510,533,084.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.