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Finding the Third Proportional to 113,424,512 and 248,808,256

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Solution

The third proportional to 113,424,512 and 248,808,256 is: 545,786,331.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,424,512 : 248,808,256 = 248,808,256 : x
  2. Step 2: Convert to fraction form
    113,424,512/248,808,256 = 248,808,256/x
  3. Step 3: Cross multiply
    113,424,512x = 248,808,256 × 248,808,256
  4. Step 4: Simplify right side
    113,424,512x = 61,905,548,253,761,536
  5. Step 5: Solve for x
    x = 61,905,548,253,761,536/113,424,512
  6. Step 6: Final answer
    x = 545,786,331.03

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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.