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Finding the Third Proportional to 168,975,845,600 and 358,097,556,626

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Solution

The third proportional to 168,975,845,600 and 358,097,556,626 is: 758,888,701,554.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,975,845,600 : 358,097,556,626 = 358,097,556,626 : x
  2. Step 2: Convert to fraction form
    168,975,845,600/358,097,556,626 = 358,097,556,626/x
  3. Step 3: Cross multiply
    168,975,845,600x = 358,097,556,626 × 358,097,556,626
  4. Step 4: Simplify right side
    168,975,845,600x = 128,233,860,061,511,282,589,696
  5. Step 5: Solve for x
    x = 128,233,860,061,511,282,589,696/168,975,845,600
  6. Step 6: Final answer
    x = 758,888,701,554.82

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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.