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Finding the Third Proportional to 110,780,568 and 256,436,957

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Solution

The third proportional to 110,780,568 and 256,436,957 is: 593,605,125.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,780,568 : 256,436,957 = 256,436,957 : x
  2. Step 2: Convert to fraction form
    110,780,568/256,436,957 = 256,436,957/x
  3. Step 3: Cross multiply
    110,780,568x = 256,436,957 × 256,436,957
  4. Step 4: Simplify right side
    110,780,568x = 65,759,912,915,419,848
  5. Step 5: Solve for x
    x = 65,759,912,915,419,848/110,780,568
  6. Step 6: Final answer
    x = 593,605,125.00

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.