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Finding the Third Proportional to 111,380,850.98 and 231,927,874.91

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Solution

The third proportional to 111,380,850.98 and 231,927,874.91 is: 482,942,432.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,380,850.98 : 231,927,874.91 = 231,927,874.91 : x
  2. Step 2: Convert to fraction form
    111,380,850.98/231,927,874.91 = 231,927,874.91/x
  3. Step 3: Cross multiply
    111,380,850.98x = 231,927,874.91 × 231,927,874.91
  4. Step 4: Simplify right side
    111,380,850.98x = 53,790,539,160,338,184
  5. Step 5: Solve for x
    x = 53,790,539,160,338,184/111,380,850.98
  6. Step 6: Final answer
    x = 482,942,432.97

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.