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Finding the Third Proportional to 204,894,774 and 447,233,868

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Solution

The third proportional to 204,894,774 and 447,233,868 is: 976,199,288.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,894,774 : 447,233,868 = 447,233,868 : x
  2. Step 2: Convert to fraction form
    204,894,774/447,233,868 = 447,233,868/x
  3. Step 3: Cross multiply
    204,894,774x = 447,233,868 × 447,233,868
  4. Step 4: Simplify right side
    204,894,774x = 200,018,132,686,241,408
  5. Step 5: Solve for x
    x = 200,018,132,686,241,408/204,894,774
  6. Step 6: Final answer
    x = 976,199,288.94

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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.