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Finding the Third Proportional to 219,085,138 and 341,190,473

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Solution

The third proportional to 219,085,138 and 341,190,473 is: 531,350,231.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,085,138 : 341,190,473 = 341,190,473 : x
  2. Step 2: Convert to fraction form
    219,085,138/341,190,473 = 341,190,473/x
  3. Step 3: Cross multiply
    219,085,138x = 341,190,473 × 341,190,473
  4. Step 4: Simplify right side
    219,085,138x = 116,410,938,865,963,728
  5. Step 5: Solve for x
    x = 116,410,938,865,963,728/219,085,138
  6. Step 6: Final answer
    x = 531,350,231.83

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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.