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Finding the Third Proportional to 168,556,172,112 and 243,534,560,824

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Solution

The third proportional to 168,556,172,112 and 243,534,560,824 is: 351,865,384,533.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,556,172,112 : 243,534,560,824 = 243,534,560,824 : x
  2. Step 2: Convert to fraction form
    168,556,172,112/243,534,560,824 = 243,534,560,824/x
  3. Step 3: Cross multiply
    168,556,172,112x = 243,534,560,824 × 243,534,560,824
  4. Step 4: Simplify right side
    168,556,172,112x = 59,309,082,315,738,553,778,176
  5. Step 5: Solve for x
    x = 59,309,082,315,738,553,778,176/168,556,172,112
  6. Step 6: Final answer
    x = 351,865,384,533.83

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.