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Finding the Third Proportional to 204,192,144 and 448,058,736

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Solution

The third proportional to 204,192,144 and 448,058,736 is: 983,175,096.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,192,144 : 448,058,736 = 448,058,736 : x
  2. Step 2: Convert to fraction form
    204,192,144/448,058,736 = 448,058,736/x
  3. Step 3: Cross multiply
    204,192,144x = 448,058,736 × 448,058,736
  4. Step 4: Simplify right side
    204,192,144x = 200,756,630,905,917,696
  5. Step 5: Solve for x
    x = 200,756,630,905,917,696/204,192,144
  6. Step 6: Final answer
    x = 983,175,096.62

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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.