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Finding the Third Proportional to 204,669,383.34 and 445,199,004

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Solution

The third proportional to 204,669,383.34 and 445,199,004 is: 968,401,574.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,669,383.34 : 445,199,004 = 445,199,004 : x
  2. Step 2: Convert to fraction form
    204,669,383.34/445,199,004 = 445,199,004/x
  3. Step 3: Cross multiply
    204,669,383.34x = 445,199,004 × 445,199,004
  4. Step 4: Simplify right side
    204,669,383.34x = 198,202,153,162,592,000
  5. Step 5: Solve for x
    x = 198,202,153,162,592,000/204,669,383.34
  6. Step 6: Final answer
    x = 968,401,574.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.