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Finding the Third Proportional to 209,706,104 and 459,722,992

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Solution

The third proportional to 209,706,104 and 459,722,992 is: 1,007,816,297.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,706,104 : 459,722,992 = 459,722,992 : x
  2. Step 2: Convert to fraction form
    209,706,104/459,722,992 = 459,722,992/x
  3. Step 3: Cross multiply
    209,706,104x = 459,722,992 × 459,722,992
  4. Step 4: Simplify right side
    209,706,104x = 211,345,229,373,432,064
  5. Step 5: Solve for x
    x = 211,345,229,373,432,064/209,706,104
  6. Step 6: Final answer
    x = 1,007,816,297.87

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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.