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Finding the Third Proportional to 107,468,909 and 233,183,957

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Solution

The third proportional to 107,468,909 and 233,183,957 is: 505,958,032.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,468,909 : 233,183,957 = 233,183,957 : x
  2. Step 2: Convert to fraction form
    107,468,909/233,183,957 = 233,183,957/x
  3. Step 3: Cross multiply
    107,468,909x = 233,183,957 × 233,183,957
  4. Step 4: Simplify right side
    107,468,909x = 54,374,757,802,177,848
  5. Step 5: Solve for x
    x = 54,374,757,802,177,848/107,468,909
  6. Step 6: Final answer
    x = 505,958,032.96

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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.