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Finding the Third Proportional to 108,262,941 and 255,481,164

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Solution

The third proportional to 108,262,941 and 255,481,164 is: 602,889,821.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,262,941 : 255,481,164 = 255,481,164 : x
  2. Step 2: Convert to fraction form
    108,262,941/255,481,164 = 255,481,164/x
  3. Step 3: Cross multiply
    108,262,941x = 255,481,164 × 255,481,164
  4. Step 4: Simplify right side
    108,262,941x = 65,270,625,158,794,896
  5. Step 5: Solve for x
    x = 65,270,625,158,794,896/108,262,941
  6. Step 6: Final answer
    x = 602,889,821.35

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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.