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Finding the Third Proportional to 131,426,766 and 280,444,324

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Solution

The third proportional to 131,426,766 and 280,444,324 is: 598,424,668.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,426,766 : 280,444,324 = 280,444,324 : x
  2. Step 2: Convert to fraction form
    131,426,766/280,444,324 = 280,444,324/x
  3. Step 3: Cross multiply
    131,426,766x = 280,444,324 × 280,444,324
  4. Step 4: Simplify right side
    131,426,766x = 78,649,018,863,816,976
  5. Step 5: Solve for x
    x = 78,649,018,863,816,976/131,426,766
  6. Step 6: Final answer
    x = 598,424,668.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.