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Finding the Third Proportional to 46,976,016 and 103,189,920

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Solution

The third proportional to 46,976,016 and 103,189,920 is: 226,672,257.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,976,016 : 103,189,920 = 103,189,920 : x
  2. Step 2: Convert to fraction form
    46,976,016/103,189,920 = 103,189,920/x
  3. Step 3: Cross multiply
    46,976,016x = 103,189,920 × 103,189,920
  4. Step 4: Simplify right side
    46,976,016x = 10,648,159,589,606,400
  5. Step 5: Solve for x
    x = 10,648,159,589,606,400/46,976,016
  6. Step 6: Final answer
    x = 226,672,257.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.