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Finding the Third Proportional to 204,162,660 and 448,006,248

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Solution

The third proportional to 204,162,660 and 448,006,248 is: 983,086,712.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,162,660 : 448,006,248 = 448,006,248 : x
  2. Step 2: Convert to fraction form
    204,162,660/448,006,248 = 448,006,248/x
  3. Step 3: Cross multiply
    204,162,660x = 448,006,248 × 448,006,248
  4. Step 4: Simplify right side
    204,162,660x = 200,709,598,247,037,504
  5. Step 5: Solve for x
    x = 200,709,598,247,037,504/204,162,660
  6. Step 6: Final answer
    x = 983,086,712.56

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Why These Related Problems?

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