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Finding the Third Proportional to 161,511,556,256 and 353,418,703,356

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Solution

The third proportional to 161,511,556,256 and 353,418,703,356 is: 773,348,872,224.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,511,556,256 : 353,418,703,356 = 353,418,703,356 : x
  2. Step 2: Convert to fraction form
    161,511,556,256/353,418,703,356 = 353,418,703,356/x
  3. Step 3: Cross multiply
    161,511,556,256x = 353,418,703,356 × 353,418,703,356
  4. Step 4: Simplify right side
    161,511,556,256x = 124,904,779,881,836,332,449,792
  5. Step 5: Solve for x
    x = 124,904,779,881,836,332,449,792/161,511,556,256
  6. Step 6: Final answer
    x = 773,348,872,224.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.