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Finding the Third Proportional to 204,162,682 and 448,006,284

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Solution

The third proportional to 204,162,682 and 448,006,284 is: 983,086,764.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,162,682 : 448,006,284 = 448,006,284 : x
  2. Step 2: Convert to fraction form
    204,162,682/448,006,284 = 448,006,284/x
  3. Step 3: Cross multiply
    204,162,682x = 448,006,284 × 448,006,284
  4. Step 4: Simplify right side
    204,162,682x = 200,709,630,503,488,640
  5. Step 5: Solve for x
    x = 200,709,630,503,488,640/204,162,682
  6. Step 6: Final answer
    x = 983,086,764.62

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.