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Finding the Third Proportional to 168,975,845,602 and 358,097,556,630

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Solution

The third proportional to 168,975,845,602 and 358,097,556,630 is: 758,888,701,562.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,975,845,602 : 358,097,556,630 = 358,097,556,630 : x
  2. Step 2: Convert to fraction form
    168,975,845,602/358,097,556,630 = 358,097,556,630/x
  3. Step 3: Cross multiply
    168,975,845,602x = 358,097,556,630 × 358,097,556,630
  4. Step 4: Simplify right side
    168,975,845,602x = 128,233,860,064,376,059,330,560
  5. Step 5: Solve for x
    x = 128,233,860,064,376,059,330,560/168,975,845,602
  6. Step 6: Final answer
    x = 758,888,701,562.79

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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.