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Finding the Third Proportional to 103,659,413 and 239,978,099

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Solution

The third proportional to 103,659,413 and 239,978,099 is: 555,564,481.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,659,413 : 239,978,099 = 239,978,099 : x
  2. Step 2: Convert to fraction form
    103,659,413/239,978,099 = 239,978,099/x
  3. Step 3: Cross multiply
    103,659,413x = 239,978,099 × 239,978,099
  4. Step 4: Simplify right side
    103,659,413x = 57,589,487,999,653,800
  5. Step 5: Solve for x
    x = 57,589,487,999,653,800/103,659,413
  6. Step 6: Final answer
    x = 555,564,481.15

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.