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Finding the Third Proportional to 111,073,313,556 and 169,208,716,986

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Solution

The third proportional to 111,073,313,556 and 169,208,716,986 is: 257,771,997,497.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,073,313,556 : 169,208,716,986 = 169,208,716,986 : x
  2. Step 2: Convert to fraction form
    111,073,313,556/169,208,716,986 = 169,208,716,986/x
  3. Step 3: Cross multiply
    111,073,313,556x = 169,208,716,986 × 169,208,716,986
  4. Step 4: Simplify right side
    111,073,313,556x = 28,631,589,904,048,245,964,800
  5. Step 5: Solve for x
    x = 28,631,589,904,048,245,964,800/111,073,313,556
  6. Step 6: Final answer
    x = 257,771,997,497.97

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.