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Finding the Third Proportional to 105,540,224 and 161,449,176

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Solution

The third proportional to 105,540,224 and 161,449,176 is: 246,975,375.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,540,224 : 161,449,176 = 161,449,176 : x
  2. Step 2: Convert to fraction form
    105,540,224/161,449,176 = 161,449,176/x
  3. Step 3: Cross multiply
    105,540,224x = 161,449,176 × 161,449,176
  4. Step 4: Simplify right side
    105,540,224x = 26,065,836,431,078,976
  5. Step 5: Solve for x
    x = 26,065,836,431,078,976/105,540,224
  6. Step 6: Final answer
    x = 246,975,375.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.