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Finding the Third Proportional to 111,297,564 and 153,792,198

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Solution

The third proportional to 111,297,564 and 153,792,198 is: 212,511,750.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,297,564 : 153,792,198 = 153,792,198 : x
  2. Step 2: Convert to fraction form
    111,297,564/153,792,198 = 153,792,198/x
  3. Step 3: Cross multiply
    111,297,564x = 153,792,198 × 153,792,198
  4. Step 4: Simplify right side
    111,297,564x = 23,652,040,165,671,204
  5. Step 5: Solve for x
    x = 23,652,040,165,671,204/111,297,564
  6. Step 6: Final answer
    x = 212,511,750.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.