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Finding the Third Proportional to 51,203,256 and 111,970,896

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Solution

The third proportional to 51,203,256 and 111,970,896 is: 244,857,115.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,203,256 : 111,970,896 = 111,970,896 : x
  2. Step 2: Convert to fraction form
    51,203,256/111,970,896 = 111,970,896/x
  3. Step 3: Cross multiply
    51,203,256x = 111,970,896 × 111,970,896
  4. Step 4: Simplify right side
    51,203,256x = 12,537,481,551,042,816
  5. Step 5: Solve for x
    x = 12,537,481,551,042,816/51,203,256
  6. Step 6: Final answer
    x = 244,857,115.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.