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Finding the Third Proportional to 204,388,837.50 and 443,277,051

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Solution

The third proportional to 204,388,837.50 and 443,277,051 is: 961,376,102.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,388,837.50 : 443,277,051 = 443,277,051 : x
  2. Step 2: Convert to fraction form
    204,388,837.50/443,277,051 = 443,277,051/x
  3. Step 3: Cross multiply
    204,388,837.50x = 443,277,051 × 443,277,051
  4. Step 4: Simplify right side
    204,388,837.50x = 196,494,543,943,256,608
  5. Step 5: Solve for x
    x = 196,494,543,943,256,608/204,388,837.50
  6. Step 6: Final answer
    x = 961,376,102.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.