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Finding the Third Proportional to 110,780,550.75 and 256,436,928.75

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Solution

The third proportional to 110,780,550.75 and 256,436,928.75 is: 593,605,086.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,780,550.75 : 256,436,928.75 = 256,436,928.75 : x
  2. Step 2: Convert to fraction form
    110,780,550.75/256,436,928.75 = 256,436,928.75/x
  3. Step 3: Cross multiply
    110,780,550.75x = 256,436,928.75 × 256,436,928.75
  4. Step 4: Simplify right side
    110,780,550.75x = 65,759,898,426,732,576
  5. Step 5: Solve for x
    x = 65,759,898,426,732,576/110,780,550.75
  6. Step 6: Final answer
    x = 593,605,086.65

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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.