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Finding the Third Proportional to 109,236,144 and 233,967,112

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Solution

The third proportional to 109,236,144 and 233,967,112 is: 501,121,766.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,236,144 : 233,967,112 = 233,967,112 : x
  2. Step 2: Convert to fraction form
    109,236,144/233,967,112 = 233,967,112/x
  3. Step 3: Cross multiply
    109,236,144x = 233,967,112 × 233,967,112
  4. Step 4: Simplify right side
    109,236,144x = 54,740,609,497,620,544
  5. Step 5: Solve for x
    x = 54,740,609,497,620,544/109,236,144
  6. Step 6: Final answer
    x = 501,121,766.96

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