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Finding the Third Proportional to 204,945,010 and 446,278,884

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Solution

The third proportional to 204,945,010 and 446,278,884 is: 971,796,494.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,945,010 : 446,278,884 = 446,278,884 : x
  2. Step 2: Convert to fraction form
    204,945,010/446,278,884 = 446,278,884/x
  3. Step 3: Cross multiply
    204,945,010x = 446,278,884 × 446,278,884
  4. Step 4: Simplify right side
    204,945,010x = 199,164,842,304,285,440
  5. Step 5: Solve for x
    x = 199,164,842,304,285,440/204,945,010
  6. Step 6: Final answer
    x = 971,796,494.60

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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.