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Finding the Third Proportional to 168,556,172,114 and 243,534,560,827

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Solution

The third proportional to 168,556,172,114 and 243,534,560,827 is: 351,865,384,538.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,556,172,114 : 243,534,560,827 = 243,534,560,827 : x
  2. Step 2: Convert to fraction form
    168,556,172,114/243,534,560,827 = 243,534,560,827/x
  3. Step 3: Cross multiply
    168,556,172,114x = 243,534,560,827 × 243,534,560,827
  4. Step 4: Simplify right side
    168,556,172,114x = 59,309,082,317,199,765,405,696
  5. Step 5: Solve for x
    x = 59,309,082,317,199,765,405,696/168,556,172,114
  6. Step 6: Final answer
    x = 351,865,384,538.32

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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.