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Finding the Third Proportional to 108,262,880 and 255,481,016

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Solution

The third proportional to 108,262,880 and 255,481,016 is: 602,889,462.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,262,880 : 255,481,016 = 255,481,016 : x
  2. Step 2: Convert to fraction form
    108,262,880/255,481,016 = 255,481,016/x
  3. Step 3: Cross multiply
    108,262,880x = 255,481,016 × 255,481,016
  4. Step 4: Simplify right side
    108,262,880x = 65,270,549,536,392,256
  5. Step 5: Solve for x
    x = 65,270,549,536,392,256/108,262,880
  6. Step 6: Final answer
    x = 602,889,462.54

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.