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Finding the Third Proportional to 204,192,093 and 448,058,634

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Solution

The third proportional to 204,192,093 and 448,058,634 is: 983,174,894.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,192,093 : 448,058,634 = 448,058,634 : x
  2. Step 2: Convert to fraction form
    204,192,093/448,058,634 = 448,058,634/x
  3. Step 3: Cross multiply
    204,192,093x = 448,058,634 × 448,058,634
  4. Step 4: Simplify right side
    204,192,093x = 200,756,539,501,945,952
  5. Step 5: Solve for x
    x = 200,756,539,501,945,952/204,192,093
  6. Step 6: Final answer
    x = 983,174,894.54

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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.