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Finding the Third Proportional to 205,215,249 and 451,473,143

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Solution

The third proportional to 205,215,249 and 451,473,143 is: 993,240,024.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,215,249 : 451,473,143 = 451,473,143 : x
  2. Step 2: Convert to fraction form
    205,215,249/451,473,143 = 451,473,143/x
  3. Step 3: Cross multiply
    205,215,249x = 451,473,143 × 451,473,143
  4. Step 4: Simplify right side
    205,215,249x = 203,827,998,850,298,464
  5. Step 5: Solve for x
    x = 203,827,998,850,298,464/205,215,249
  6. Step 6: Final answer
    x = 993,240,024.04

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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.