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Finding the Third Proportional to 204,185,900 and 313,846,950

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Solution

The third proportional to 204,185,900 and 313,846,950 is: 482,403,084.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,185,900 : 313,846,950 = 313,846,950 : x
  2. Step 2: Convert to fraction form
    204,185,900/313,846,950 = 313,846,950/x
  3. Step 3: Cross multiply
    204,185,900x = 313,846,950 × 313,846,950
  4. Step 4: Simplify right side
    204,185,900x = 98,499,908,024,302,496
  5. Step 5: Solve for x
    x = 98,499,908,024,302,496/204,185,900
  6. Step 6: Final answer
    x = 482,403,084.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.