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Finding the Third Proportional to 68,709,932 and 149,347,600

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Solution

The third proportional to 68,709,932 and 149,347,600 is: 324,621,273.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,709,932 : 149,347,600 = 149,347,600 : x
  2. Step 2: Convert to fraction form
    68,709,932/149,347,600 = 149,347,600/x
  3. Step 3: Cross multiply
    68,709,932x = 149,347,600 × 149,347,600
  4. Step 4: Simplify right side
    68,709,932x = 22,304,705,625,760,000
  5. Step 5: Solve for x
    x = 22,304,705,625,760,000/68,709,932
  6. Step 6: Final answer
    x = 324,621,273.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.