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Finding the Third Proportional to 202,741,728 and 304,119,216

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Solution

The third proportional to 202,741,728 and 304,119,216 is: 456,188,760.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,741,728 : 304,119,216 = 304,119,216 : x
  2. Step 2: Convert to fraction form
    202,741,728/304,119,216 = 304,119,216/x
  3. Step 3: Cross multiply
    202,741,728x = 304,119,216 × 304,119,216
  4. Step 4: Simplify right side
    202,741,728x = 92,488,497,540,454,656
  5. Step 5: Solve for x
    x = 92,488,497,540,454,656/202,741,728
  6. Step 6: Final answer
    x = 456,188,760.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.