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Finding the Third Proportional to 100,251,044 and 159,519,114

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Solution

The third proportional to 100,251,044 and 159,519,114 is: 253,826,261.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,251,044 : 159,519,114 = 159,519,114 : x
  2. Step 2: Convert to fraction form
    100,251,044/159,519,114 = 159,519,114/x
  3. Step 3: Cross multiply
    100,251,044x = 159,519,114 × 159,519,114
  4. Step 4: Simplify right side
    100,251,044x = 25,446,347,731,344,996
  5. Step 5: Solve for x
    x = 25,446,347,731,344,996/100,251,044
  6. Step 6: Final answer
    x = 253,826,261.71

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.