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Finding the Third Proportional to 168,829,832 and 365,837,960

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Solution

The third proportional to 168,829,832 and 365,837,960 is: 792,735,569.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,829,832 : 365,837,960 = 365,837,960 : x
  2. Step 2: Convert to fraction form
    168,829,832/365,837,960 = 365,837,960/x
  3. Step 3: Cross multiply
    168,829,832x = 365,837,960 × 365,837,960
  4. Step 4: Simplify right side
    168,829,832x = 133,837,412,976,961,600
  5. Step 5: Solve for x
    x = 133,837,412,976,961,600/168,829,832
  6. Step 6: Final answer
    x = 792,735,569.25

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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.