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Finding the Third Proportional to 205,215,264 and 451,473,171

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Solution

The third proportional to 205,215,264 and 451,473,171 is: 993,240,074.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,215,264 : 451,473,171 = 451,473,171 : x
  2. Step 2: Convert to fraction form
    205,215,264/451,473,171 = 451,473,171/x
  3. Step 3: Cross multiply
    205,215,264x = 451,473,171 × 451,473,171
  4. Step 4: Simplify right side
    205,215,264x = 203,828,024,132,795,232
  5. Step 5: Solve for x
    x = 203,828,024,132,795,232/205,215,264
  6. Step 6: Final answer
    x = 993,240,074.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.