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Finding the Third Proportional to 204,192,184 and 448,058,816

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Solution

The third proportional to 204,192,184 and 448,058,816 is: 983,175,255.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,192,184 : 448,058,816 = 448,058,816 : x
  2. Step 2: Convert to fraction form
    204,192,184/448,058,816 = 448,058,816/x
  3. Step 3: Cross multiply
    204,192,184x = 448,058,816 × 448,058,816
  4. Step 4: Simplify right side
    204,192,184x = 200,756,702,595,321,856
  5. Step 5: Solve for x
    x = 200,756,702,595,321,856/204,192,184
  6. Step 6: Final answer
    x = 983,175,255.11

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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.