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Finding the Third Proportional to 213,419,614 and 459,195,164

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Solution

The third proportional to 213,419,614 and 459,195,164 is: 988,007,590.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,419,614 : 459,195,164 = 459,195,164 : x
  2. Step 2: Convert to fraction form
    213,419,614/459,195,164 = 459,195,164/x
  3. Step 3: Cross multiply
    213,419,614x = 459,195,164 × 459,195,164
  4. Step 4: Simplify right side
    213,419,614x = 210,860,198,640,986,880
  5. Step 5: Solve for x
    x = 210,860,198,640,986,880/213,419,614
  6. Step 6: Final answer
    x = 988,007,590.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.