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Finding the Third Proportional to 73,287,419 and 159,203,062

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Solution

The third proportional to 73,287,419 and 159,203,062 is: 345,838,553.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,287,419 : 159,203,062 = 159,203,062 : x
  2. Step 2: Convert to fraction form
    73,287,419/159,203,062 = 159,203,062/x
  3. Step 3: Cross multiply
    73,287,419x = 159,203,062 × 159,203,062
  4. Step 4: Simplify right side
    73,287,419x = 25,345,614,950,175,844
  5. Step 5: Solve for x
    x = 25,345,614,950,175,844/73,287,419
  6. Step 6: Final answer
    x = 345,838,553.14

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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.