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Finding the Third Proportional to 179,602,708 and 387,945,512

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Solution

The third proportional to 179,602,708 and 387,945,512 is: 837,970,217.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,602,708 : 387,945,512 = 387,945,512 : x
  2. Step 2: Convert to fraction form
    179,602,708/387,945,512 = 387,945,512/x
  3. Step 3: Cross multiply
    179,602,708x = 387,945,512 × 387,945,512
  4. Step 4: Simplify right side
    179,602,708x = 150,501,720,280,942,144
  5. Step 5: Solve for x
    x = 150,501,720,280,942,144/179,602,708
  6. Step 6: Final answer
    x = 837,970,217.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.