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Finding the Third Proportional to 111,295,738 and 148,377,472

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Solution

The third proportional to 111,295,738 and 148,377,472 is: 197,814,171.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,295,738 : 148,377,472 = 148,377,472 : x
  2. Step 2: Convert to fraction form
    111,295,738/148,377,472 = 148,377,472/x
  3. Step 3: Cross multiply
    111,295,738x = 148,377,472 × 148,377,472
  4. Step 4: Simplify right side
    111,295,738x = 22,015,874,197,110,784
  5. Step 5: Solve for x
    x = 22,015,874,197,110,784/111,295,738
  6. Step 6: Final answer
    x = 197,814,171.44

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.