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Finding the Third Proportional to 100,145,060 and 213,517,916

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Solution

The third proportional to 100,145,060 and 213,517,916 is: 455,238,635.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,145,060 : 213,517,916 = 213,517,916 : x
  2. Step 2: Convert to fraction form
    100,145,060/213,517,916 = 213,517,916/x
  3. Step 3: Cross multiply
    100,145,060x = 213,517,916 × 213,517,916
  4. Step 4: Simplify right side
    100,145,060x = 45,589,900,452,983,056
  5. Step 5: Solve for x
    x = 45,589,900,452,983,056/100,145,060
  6. Step 6: Final answer
    x = 455,238,635.37

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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.