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Finding the Third Proportional to 168,975,845,604 and 358,097,556,634

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Solution

The third proportional to 168,975,845,604 and 358,097,556,634 is: 758,888,701,570.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,975,845,604 : 358,097,556,634 = 358,097,556,634 : x
  2. Step 2: Convert to fraction form
    168,975,845,604/358,097,556,634 = 358,097,556,634/x
  3. Step 3: Cross multiply
    168,975,845,604x = 358,097,556,634 × 358,097,556,634
  4. Step 4: Simplify right side
    168,975,845,604x = 128,233,860,067,240,836,071,424
  5. Step 5: Solve for x
    x = 128,233,860,067,240,836,071,424/168,975,845,604
  6. Step 6: Final answer
    x = 758,888,701,570.76

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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.