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Finding the Third Proportional to 168,697,638 and 368,327,820

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Solution

The third proportional to 168,697,638 and 368,327,820 is: 804,192,545.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,697,638 : 368,327,820 = 368,327,820 : x
  2. Step 2: Convert to fraction form
    168,697,638/368,327,820 = 368,327,820/x
  3. Step 3: Cross multiply
    168,697,638x = 368,327,820 × 368,327,820
  4. Step 4: Simplify right side
    168,697,638x = 135,665,382,985,952,400
  5. Step 5: Solve for x
    x = 135,665,382,985,952,400/168,697,638
  6. Step 6: Final answer
    x = 804,192,545.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.