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Finding the Third Proportional to 109,071,824 and 233,260,192

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Solution

The third proportional to 109,071,824 and 233,260,192 is: 498,848,512.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,071,824 : 233,260,192 = 233,260,192 : x
  2. Step 2: Convert to fraction form
    109,071,824/233,260,192 = 233,260,192/x
  3. Step 3: Cross multiply
    109,071,824x = 233,260,192 × 233,260,192
  4. Step 4: Simplify right side
    109,071,824x = 54,410,317,171,876,864
  5. Step 5: Solve for x
    x = 54,410,317,171,876,864/109,071,824
  6. Step 6: Final answer
    x = 498,848,512.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.