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Finding the Third Proportional to 68,982,424 and 150,212,047

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Solution

The third proportional to 68,982,424 and 150,212,047 is: 327,092,870.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,982,424 : 150,212,047 = 150,212,047 : x
  2. Step 2: Convert to fraction form
    68,982,424/150,212,047 = 150,212,047/x
  3. Step 3: Cross multiply
    68,982,424x = 150,212,047 × 150,212,047
  4. Step 4: Simplify right side
    68,982,424x = 22,563,659,063,930,208
  5. Step 5: Solve for x
    x = 22,563,659,063,930,208/68,982,424
  6. Step 6: Final answer
    x = 327,092,870.26

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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.