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Finding the Third Proportional to 204,599,296 and 438,381,888

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Solution

The third proportional to 204,599,296 and 438,381,888 is: 939,292,966.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,599,296 : 438,381,888 = 438,381,888 : x
  2. Step 2: Convert to fraction form
    204,599,296/438,381,888 = 438,381,888/x
  3. Step 3: Cross multiply
    204,599,296x = 438,381,888 × 438,381,888
  4. Step 4: Simplify right side
    204,599,296x = 192,178,679,726,444,544
  5. Step 5: Solve for x
    x = 192,178,679,726,444,544/204,599,296
  6. Step 6: Final answer
    x = 939,292,966.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.