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Finding the Third Proportional to 197,201,736 and 307,740,824

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Solution

The third proportional to 197,201,736 and 307,740,824 is: 480,241,283.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,201,736 : 307,740,824 = 307,740,824 : x
  2. Step 2: Convert to fraction form
    197,201,736/307,740,824 = 307,740,824/x
  3. Step 3: Cross multiply
    197,201,736x = 307,740,824 × 307,740,824
  4. Step 4: Simplify right side
    197,201,736x = 94,704,414,756,198,976
  5. Step 5: Solve for x
    x = 94,704,414,756,198,976/197,201,736
  6. Step 6: Final answer
    x = 480,241,283.25

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.