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Finding the Third Proportional to 204,192,072 and 448,058,592

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Solution

The third proportional to 204,192,072 and 448,058,592 is: 983,174,811.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,192,072 : 448,058,592 = 448,058,592 : x
  2. Step 2: Convert to fraction form
    204,192,072/448,058,592 = 448,058,592/x
  3. Step 3: Cross multiply
    204,192,072x = 448,058,592 × 448,058,592
  4. Step 4: Simplify right side
    204,192,072x = 200,756,501,865,022,464
  5. Step 5: Solve for x
    x = 200,756,501,865,022,464/204,192,072
  6. Step 6: Final answer
    x = 983,174,811.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.