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Finding the Third Proportional to 165,792,002,991.75 and 254,676,797,898.76

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Solution

The third proportional to 165,792,002,991.75 and 254,676,797,898.76 is: 391,214,716,135.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,792,002,991.75 : 254,676,797,898.76 = 254,676,797,898.76 : x
  2. Step 2: Convert to fraction form
    165,792,002,991.75/254,676,797,898.76 = 254,676,797,898.76/x
  3. Step 3: Cross multiply
    165,792,002,991.75x = 254,676,797,898.76 × 254,676,797,898.76
  4. Step 4: Simplify right side
    165,792,002,991.75x = 64,860,271,387,965,854,318,592
  5. Step 5: Solve for x
    x = 64,860,271,387,965,854,318,592/165,792,002,991.75
  6. Step 6: Final answer
    x = 391,214,716,135.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.