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Finding the Third Proportional to 104,301,828 and 217,187,256

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Solution

The third proportional to 104,301,828 and 217,187,256 is: 452,248,106.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,301,828 : 217,187,256 = 217,187,256 : x
  2. Step 2: Convert to fraction form
    104,301,828/217,187,256 = 217,187,256/x
  3. Step 3: Cross multiply
    104,301,828x = 217,187,256 × 217,187,256
  4. Step 4: Simplify right side
    104,301,828x = 47,170,304,168,809,536
  5. Step 5: Solve for x
    x = 47,170,304,168,809,536/104,301,828
  6. Step 6: Final answer
    x = 452,248,106.03

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.