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Finding the Third Proportional to 83,697,420 and 177,351,516

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Solution

The third proportional to 83,697,420 and 177,351,516 is: 375,800,833.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,697,420 : 177,351,516 = 177,351,516 : x
  2. Step 2: Convert to fraction form
    83,697,420/177,351,516 = 177,351,516/x
  3. Step 3: Cross multiply
    83,697,420x = 177,351,516 × 177,351,516
  4. Step 4: Simplify right side
    83,697,420x = 31,453,560,227,498,256
  5. Step 5: Solve for x
    x = 31,453,560,227,498,256/83,697,420
  6. Step 6: Final answer
    x = 375,800,833.85

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.