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Finding the Third Proportional to 100,251,110.50 and 159,519,229.50

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Solution

The third proportional to 100,251,110.50 and 159,519,229.50 is: 253,826,460.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,251,110.50 : 159,519,229.50 = 159,519,229.50 : x
  2. Step 2: Convert to fraction form
    100,251,110.50/159,519,229.50 = 159,519,229.50/x
  3. Step 3: Cross multiply
    100,251,110.50x = 159,519,229.50 × 159,519,229.50
  4. Step 4: Simplify right side
    100,251,110.50x = 25,446,384,580,273,672
  5. Step 5: Solve for x
    x = 25,446,384,580,273,672/100,251,110.50
  6. Step 6: Final answer
    x = 253,826,460.91

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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.