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Finding the Third Proportional to 204,553,774 and 447,370,570

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Solution

The third proportional to 204,553,774 and 447,370,570 is: 978,424,513.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,553,774 : 447,370,570 = 447,370,570 : x
  2. Step 2: Convert to fraction form
    204,553,774/447,370,570 = 447,370,570/x
  3. Step 3: Cross multiply
    204,553,774x = 447,370,570 × 447,370,570
  4. Step 4: Simplify right side
    204,553,774x = 200,140,426,902,124,896
  5. Step 5: Solve for x
    x = 200,140,426,902,124,896/204,553,774
  6. Step 6: Final answer
    x = 978,424,513.95

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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.