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Finding the Third Proportional to 77,738,286 and 170,120,796

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Solution

The third proportional to 77,738,286 and 170,120,796 is: 372,288,697.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,738,286 : 170,120,796 = 170,120,796 : x
  2. Step 2: Convert to fraction form
    77,738,286/170,120,796 = 170,120,796/x
  3. Step 3: Cross multiply
    77,738,286x = 170,120,796 × 170,120,796
  4. Step 4: Simplify right side
    77,738,286x = 28,941,085,231,673,616
  5. Step 5: Solve for x
    x = 28,941,085,231,673,616/77,738,286
  6. Step 6: Final answer
    x = 372,288,697.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.