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Finding the Third Proportional to 100,145,058 and 213,517,912

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Solution

The third proportional to 100,145,058 and 213,517,912 is: 455,238,627.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,145,058 : 213,517,912 = 213,517,912 : x
  2. Step 2: Convert to fraction form
    100,145,058/213,517,912 = 213,517,912/x
  3. Step 3: Cross multiply
    100,145,058x = 213,517,912 × 213,517,912
  4. Step 4: Simplify right side
    100,145,058x = 45,589,898,744,839,744
  5. Step 5: Solve for x
    x = 45,589,898,744,839,744/100,145,058
  6. Step 6: Final answer
    x = 455,238,627.40

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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.