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Finding the Third Proportional to 173,843,449 and 368,413,098

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Solution

The third proportional to 173,843,449 and 368,413,098 is: 780,749,643.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,843,449 : 368,413,098 = 368,413,098 : x
  2. Step 2: Convert to fraction form
    173,843,449/368,413,098 = 368,413,098/x
  3. Step 3: Cross multiply
    173,843,449x = 368,413,098 × 368,413,098
  4. Step 4: Simplify right side
    173,843,449x = 135,728,210,777,957,600
  5. Step 5: Solve for x
    x = 135,728,210,777,957,600/173,843,449
  6. Step 6: Final answer
    x = 780,749,643.19

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.