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Finding the Third Proportional to 120,995,338 and 181,581,519

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Solution

The third proportional to 120,995,338 and 181,581,519 is: 272,505,111.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,995,338 : 181,581,519 = 181,581,519 : x
  2. Step 2: Convert to fraction form
    120,995,338/181,581,519 = 181,581,519/x
  3. Step 3: Cross multiply
    120,995,338x = 181,581,519 × 181,581,519
  4. Step 4: Simplify right side
    120,995,338x = 32,971,848,042,347,360
  5. Step 5: Solve for x
    x = 32,971,848,042,347,360/120,995,338
  6. Step 6: Final answer
    x = 272,505,111.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.