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Finding the Third Proportional to 164,012,799 and 361,456,629

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Solution

The third proportional to 164,012,799 and 361,456,629 is: 796,589,628.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,012,799 : 361,456,629 = 361,456,629 : x
  2. Step 2: Convert to fraction form
    164,012,799/361,456,629 = 361,456,629/x
  3. Step 3: Cross multiply
    164,012,799x = 361,456,629 × 361,456,629
  4. Step 4: Simplify right side
    164,012,799x = 130,650,894,648,043,648
  5. Step 5: Solve for x
    x = 130,650,894,648,043,648/164,012,799
  6. Step 6: Final answer
    x = 796,589,628.64

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.