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Finding the Third Proportional to 110,780,624 and 256,437,100

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Solution

The third proportional to 110,780,624 and 256,437,100 is: 593,605,486.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,780,624 : 256,437,100 = 256,437,100 : x
  2. Step 2: Convert to fraction form
    110,780,624/256,437,100 = 256,437,100/x
  3. Step 3: Cross multiply
    110,780,624x = 256,437,100 × 256,437,100
  4. Step 4: Simplify right side
    110,780,624x = 65,759,986,256,410,000
  5. Step 5: Solve for x
    x = 65,759,986,256,410,000/110,780,624
  6. Step 6: Final answer
    x = 593,605,486.97

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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.