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Finding the Third Proportional to 67,384,038 and 144,982,098

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Solution

The third proportional to 67,384,038 and 144,982,098 is: 311,940,473.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,384,038 : 144,982,098 = 144,982,098 : x
  2. Step 2: Convert to fraction form
    67,384,038/144,982,098 = 144,982,098/x
  3. Step 3: Cross multiply
    67,384,038x = 144,982,098 × 144,982,098
  4. Step 4: Simplify right side
    67,384,038x = 21,019,808,740,481,604
  5. Step 5: Solve for x
    x = 21,019,808,740,481,604/67,384,038
  6. Step 6: Final answer
    x = 311,940,473.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.