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Finding the Third Proportional to 119,903,538 and 262,408,953.38

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Solution

The third proportional to 119,903,538 and 262,408,953.38 is: 574,282,126.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,903,538 : 262,408,953.38 = 262,408,953.38 : x
  2. Step 2: Convert to fraction form
    119,903,538/262,408,953.38 = 262,408,953.38/x
  3. Step 3: Cross multiply
    119,903,538x = 262,408,953.38 × 262,408,953.38
  4. Step 4: Simplify right side
    119,903,538x = 68,858,458,811,362,920
  5. Step 5: Solve for x
    x = 68,858,458,811,362,920/119,903,538
  6. Step 6: Final answer
    x = 574,282,126.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.