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Finding the Third Proportional to 49,387,192 and 106,359,857

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Solution

The third proportional to 49,387,192 and 106,359,857 is: 229,055,727.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,387,192 : 106,359,857 = 106,359,857 : x
  2. Step 2: Convert to fraction form
    49,387,192/106,359,857 = 106,359,857/x
  3. Step 3: Cross multiply
    49,387,192x = 106,359,857 × 106,359,857
  4. Step 4: Simplify right side
    49,387,192x = 11,312,419,181,060,448
  5. Step 5: Solve for x
    x = 11,312,419,181,060,448/49,387,192
  6. Step 6: Final answer
    x = 229,055,727.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.