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Finding the Third Proportional to 110,781,096 and 256,438,176

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Solution

The third proportional to 110,781,096 and 256,438,176 is: 593,607,939.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,781,096 : 256,438,176 = 256,438,176 : x
  2. Step 2: Convert to fraction form
    110,781,096/256,438,176 = 256,438,176/x
  3. Step 3: Cross multiply
    110,781,096x = 256,438,176 × 256,438,176
  4. Step 4: Simplify right side
    110,781,096x = 65,760,538,110,206,976
  5. Step 5: Solve for x
    x = 65,760,538,110,206,976/110,781,096
  6. Step 6: Final answer
    x = 593,607,939.30

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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.