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Finding the Third Proportional to 111,985,540.50 and 232,910,442

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Solution

The third proportional to 111,985,540.50 and 232,910,442 is: 484,413,199.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,985,540.50 : 232,910,442 = 232,910,442 : x
  2. Step 2: Convert to fraction form
    111,985,540.50/232,910,442 = 232,910,442/x
  3. Step 3: Cross multiply
    111,985,540.50x = 232,910,442 × 232,910,442
  4. Step 4: Simplify right side
    111,985,540.50x = 54,247,273,992,635,360
  5. Step 5: Solve for x
    x = 54,247,273,992,635,360/111,985,540.50
  6. Step 6: Final answer
    x = 484,413,199.69

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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.