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Finding the Third Proportional to 69,361,677 and 151,080,997.50

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Solution

The third proportional to 69,361,677 and 151,080,997.50 is: 329,078,949.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,361,677 : 151,080,997.50 = 151,080,997.50 : x
  2. Step 2: Convert to fraction form
    69,361,677/151,080,997.50 = 151,080,997.50/x
  3. Step 3: Cross multiply
    69,361,677x = 151,080,997.50 × 151,080,997.50
  4. Step 4: Simplify right side
    69,361,677x = 22,825,467,805,595,008
  5. Step 5: Solve for x
    x = 22,825,467,805,595,008/69,361,677
  6. Step 6: Final answer
    x = 329,078,949.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.