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Finding the Third Proportional to 92,821,608 and 196,708,176

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Solution

The third proportional to 92,821,608 and 196,708,176 is: 416,865,289.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,821,608 : 196,708,176 = 196,708,176 : x
  2. Step 2: Convert to fraction form
    92,821,608/196,708,176 = 196,708,176/x
  3. Step 3: Cross multiply
    92,821,608x = 196,708,176 × 196,708,176
  4. Step 4: Simplify right side
    92,821,608x = 38,694,106,505,246,976
  5. Step 5: Solve for x
    x = 38,694,106,505,246,976/92,821,608
  6. Step 6: Final answer
    x = 416,865,289.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.