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Finding the Third Proportional to 49,974,490.75 and 111,433,223

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Solution

The third proportional to 49,974,490.75 and 111,433,223 is: 248,474,031.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,974,490.75 : 111,433,223 = 111,433,223 : x
  2. Step 2: Convert to fraction form
    49,974,490.75/111,433,223 = 111,433,223/x
  3. Step 3: Cross multiply
    49,974,490.75x = 111,433,223 × 111,433,223
  4. Step 4: Simplify right side
    49,974,490.75x = 12,417,363,188,167,728
  5. Step 5: Solve for x
    x = 12,417,363,188,167,728/49,974,490.75
  6. Step 6: Final answer
    x = 248,474,031.49

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.