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Finding the Third Proportional to 109,218,222 and 234,644,967

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Solution

The third proportional to 109,218,222 and 234,644,967 is: 504,112,404.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,218,222 : 234,644,967 = 234,644,967 : x
  2. Step 2: Convert to fraction form
    109,218,222/234,644,967 = 234,644,967/x
  3. Step 3: Cross multiply
    109,218,222x = 234,644,967 × 234,644,967
  4. Step 4: Simplify right side
    109,218,222x = 55,058,260,538,431,088
  5. Step 5: Solve for x
    x = 55,058,260,538,431,088/109,218,222
  6. Step 6: Final answer
    x = 504,112,404.78

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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.