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Finding the Third Proportional to 150,191,264 and 311,893,380

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Solution

The third proportional to 150,191,264 and 311,893,380 is: 647,690,670.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,191,264 : 311,893,380 = 311,893,380 : x
  2. Step 2: Convert to fraction form
    150,191,264/311,893,380 = 311,893,380/x
  3. Step 3: Cross multiply
    150,191,264x = 311,893,380 × 311,893,380
  4. Step 4: Simplify right side
    150,191,264x = 97,277,480,487,824,400
  5. Step 5: Solve for x
    x = 97,277,480,487,824,400/150,191,264
  6. Step 6: Final answer
    x = 647,690,670.53

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.