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Finding the Third Proportional to 205,763,904 and 443,835,144

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Solution

The third proportional to 205,763,904 and 443,835,144 is: 957,357,589.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,763,904 : 443,835,144 = 443,835,144 : x
  2. Step 2: Convert to fraction form
    205,763,904/443,835,144 = 443,835,144/x
  3. Step 3: Cross multiply
    205,763,904x = 443,835,144 × 443,835,144
  4. Step 4: Simplify right side
    205,763,904x = 196,989,635,049,500,736
  5. Step 5: Solve for x
    x = 196,989,635,049,500,736/205,763,904
  6. Step 6: Final answer
    x = 957,357,589.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.