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Finding the Third Proportional to 135,139,138 and 295,049,330

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Solution

The third proportional to 135,139,138 and 295,049,330 is: 644,181,311.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,139,138 : 295,049,330 = 295,049,330 : x
  2. Step 2: Convert to fraction form
    135,139,138/295,049,330 = 295,049,330/x
  3. Step 3: Cross multiply
    135,139,138x = 295,049,330 × 295,049,330
  4. Step 4: Simplify right side
    135,139,138x = 87,054,107,133,448,896
  5. Step 5: Solve for x
    x = 87,054,107,133,448,896/135,139,138
  6. Step 6: Final answer
    x = 644,181,311.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.