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Finding the Third Proportional to 138,826,883,037 and 281,557,262,074.50

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Solution

The third proportional to 138,826,883,037 and 281,557,262,074.50 is: 571,031,273,573.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,826,883,037 : 281,557,262,074.50 = 281,557,262,074.50 : x
  2. Step 2: Convert to fraction form
    138,826,883,037/281,557,262,074.50 = 281,557,262,074.50/x
  3. Step 3: Cross multiply
    138,826,883,037x = 281,557,262,074.50 × 281,557,262,074.50
  4. Step 4: Simplify right side
    138,826,883,037x = 79,274,491,826,888,677,261,312
  5. Step 5: Solve for x
    x = 79,274,491,826,888,677,261,312/138,826,883,037
  6. Step 6: Final answer
    x = 571,031,273,573.73

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.