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Finding the Third Proportional to 67,802,192 and 148,279,912

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Solution

The third proportional to 67,802,192 and 148,279,912 is: 324,280,552.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,802,192 : 148,279,912 = 148,279,912 : x
  2. Step 2: Convert to fraction form
    67,802,192/148,279,912 = 148,279,912/x
  3. Step 3: Cross multiply
    67,802,192x = 148,279,912 × 148,279,912
  4. Step 4: Simplify right side
    67,802,192x = 21,986,932,302,727,744
  5. Step 5: Solve for x
    x = 21,986,932,302,727,744/67,802,192
  6. Step 6: Final answer
    x = 324,280,552.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.