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Finding the Third Proportional to 192,253,996 and 297,880,472

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Solution

The third proportional to 192,253,996 and 297,880,472 is: 461,539,304.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,253,996 : 297,880,472 = 297,880,472 : x
  2. Step 2: Convert to fraction form
    192,253,996/297,880,472 = 297,880,472/x
  3. Step 3: Cross multiply
    192,253,996x = 297,880,472 × 297,880,472
  4. Step 4: Simplify right side
    192,253,996x = 88,732,775,598,942,784
  5. Step 5: Solve for x
    x = 88,732,775,598,942,784/192,253,996
  6. Step 6: Final answer
    x = 461,539,304.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.