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Finding the Third Proportional to 100,145,062 and 213,517,920

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Solution

The third proportional to 100,145,062 and 213,517,920 is: 455,238,643.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,145,062 : 213,517,920 = 213,517,920 : x
  2. Step 2: Convert to fraction form
    100,145,062/213,517,920 = 213,517,920/x
  3. Step 3: Cross multiply
    100,145,062x = 213,517,920 × 213,517,920
  4. Step 4: Simplify right side
    100,145,062x = 45,589,902,161,126,400
  5. Step 5: Solve for x
    x = 45,589,902,161,126,400/100,145,062
  6. Step 6: Final answer
    x = 455,238,643.33

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.