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Finding the Third Proportional to 100,251,035 and 159,519,101

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Solution

The third proportional to 100,251,035 and 159,519,101 is: 253,826,243.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,251,035 : 159,519,101 = 159,519,101 : x
  2. Step 2: Convert to fraction form
    100,251,035/159,519,101 = 159,519,101/x
  3. Step 3: Cross multiply
    100,251,035x = 159,519,101 × 159,519,101
  4. Step 4: Simplify right side
    100,251,035x = 25,446,343,583,848,200
  5. Step 5: Solve for x
    x = 25,446,343,583,848,200/100,251,035
  6. Step 6: Final answer
    x = 253,826,243.13

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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.