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Finding the Third Proportional to 159,972,684 and 238,912,614

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Solution

The third proportional to 159,972,684 and 238,912,614 is: 356,806,147.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,972,684 : 238,912,614 = 238,912,614 : x
  2. Step 2: Convert to fraction form
    159,972,684/238,912,614 = 238,912,614/x
  3. Step 3: Cross multiply
    159,972,684x = 238,912,614 × 238,912,614
  4. Step 4: Simplify right side
    159,972,684x = 57,079,237,128,312,992
  5. Step 5: Solve for x
    x = 57,079,237,128,312,992/159,972,684
  6. Step 6: Final answer
    x = 356,806,147.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.