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Finding the Third Proportional to 204,174,104 and 313,830,372

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Solution

The third proportional to 204,174,104 and 313,830,372 is: 482,379,990.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,174,104 : 313,830,372 = 313,830,372 : x
  2. Step 2: Convert to fraction form
    204,174,104/313,830,372 = 313,830,372/x
  3. Step 3: Cross multiply
    204,174,104x = 313,830,372 × 313,830,372
  4. Step 4: Simplify right side
    204,174,104x = 98,489,502,389,658,384
  5. Step 5: Solve for x
    x = 98,489,502,389,658,384/204,174,104
  6. Step 6: Final answer
    x = 482,379,990.70

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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.