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Finding the Third Proportional to 104,308,736 and 226,568,080

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Solution

The third proportional to 104,308,736 and 226,568,080 is: 492,126,516.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,308,736 : 226,568,080 = 226,568,080 : x
  2. Step 2: Convert to fraction form
    104,308,736/226,568,080 = 226,568,080/x
  3. Step 3: Cross multiply
    104,308,736x = 226,568,080 × 226,568,080
  4. Step 4: Simplify right side
    104,308,736x = 51,333,094,874,886,400
  5. Step 5: Solve for x
    x = 51,333,094,874,886,400/104,308,736
  6. Step 6: Final answer
    x = 492,126,516.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.