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Finding the Third Proportional to 204,944,920.50 and 446,278,777.50

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Solution

The third proportional to 204,944,920.50 and 446,278,777.50 is: 971,796,455.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,944,920.50 : 446,278,777.50 = 446,278,777.50 : x
  2. Step 2: Convert to fraction form
    204,944,920.50/446,278,777.50 = 446,278,777.50/x
  3. Step 3: Cross multiply
    204,944,920.50x = 446,278,777.50 × 446,278,777.50
  4. Step 4: Simplify right side
    204,944,920.50x = 199,164,747,246,894,496
  5. Step 5: Solve for x
    x = 199,164,747,246,894,496/204,944,920.50
  6. Step 6: Final answer
    x = 971,796,455.17

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