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Finding the Third Proportional to 135,057,600 and 274,888,224

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Solution

The third proportional to 135,057,600 and 274,888,224 is: 559,491,177.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,057,600 : 274,888,224 = 274,888,224 : x
  2. Step 2: Convert to fraction form
    135,057,600/274,888,224 = 274,888,224/x
  3. Step 3: Cross multiply
    135,057,600x = 274,888,224 × 274,888,224
  4. Step 4: Simplify right side
    135,057,600x = 75,563,535,693,874,176
  5. Step 5: Solve for x
    x = 75,563,535,693,874,176/135,057,600
  6. Step 6: Final answer
    x = 559,491,177.79

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.