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Finding the Third Proportional to 100,251,034 and 159,519,100

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Solution

The third proportional to 100,251,034 and 159,519,100 is: 253,826,242.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,251,034 : 159,519,100 = 159,519,100 : x
  2. Step 2: Convert to fraction form
    100,251,034/159,519,100 = 159,519,100/x
  3. Step 3: Cross multiply
    100,251,034x = 159,519,100 × 159,519,100
  4. Step 4: Simplify right side
    100,251,034x = 25,446,343,264,810,000
  5. Step 5: Solve for x
    x = 25,446,343,264,810,000/100,251,034
  6. Step 6: Final answer
    x = 253,826,242.48

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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.