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Finding the Third Proportional to 219,085,134 and 341,190,467

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Solution

The third proportional to 219,085,134 and 341,190,467 is: 531,350,222.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,085,134 : 341,190,467 = 341,190,467 : x
  2. Step 2: Convert to fraction form
    219,085,134/341,190,467 = 341,190,467/x
  3. Step 3: Cross multiply
    219,085,134x = 341,190,467 × 341,190,467
  4. Step 4: Simplify right side
    219,085,134x = 116,410,934,771,678,096
  5. Step 5: Solve for x
    x = 116,410,934,771,678,096/219,085,134
  6. Step 6: Final answer
    x = 531,350,222.84

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.