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Finding the Third Proportional to 204,669,383 and 445,199,005.50

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Solution

The third proportional to 204,669,383 and 445,199,005.50 is: 968,401,583.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,669,383 : 445,199,005.50 = 445,199,005.50 : x
  2. Step 2: Convert to fraction form
    204,669,383/445,199,005.50 = 445,199,005.50/x
  3. Step 3: Cross multiply
    204,669,383x = 445,199,005.50 × 445,199,005.50
  4. Step 4: Simplify right side
    204,669,383x = 198,202,154,498,189,024
  5. Step 5: Solve for x
    x = 198,202,154,498,189,024/204,669,383
  6. Step 6: Final answer
    x = 968,401,583.05

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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.