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Finding the Third Proportional to 248,947,723 and 365,350,311

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Solution

The third proportional to 248,947,723 and 365,350,311 is: 536,180,239.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,947,723 : 365,350,311 = 365,350,311 : x
  2. Step 2: Convert to fraction form
    248,947,723/365,350,311 = 365,350,311/x
  3. Step 3: Cross multiply
    248,947,723x = 365,350,311 × 365,350,311
  4. Step 4: Simplify right side
    248,947,723x = 133,480,849,747,796,720
  5. Step 5: Solve for x
    x = 133,480,849,747,796,720/248,947,723
  6. Step 6: Final answer
    x = 536,180,239.53

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.