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Finding the Third Proportional to 161,511,556,240 and 353,418,703,324

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Solution

The third proportional to 161,511,556,240 and 353,418,703,324 is: 773,348,872,161.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,511,556,240 : 353,418,703,324 = 353,418,703,324 : x
  2. Step 2: Convert to fraction form
    161,511,556,240/353,418,703,324 = 353,418,703,324/x
  3. Step 3: Cross multiply
    161,511,556,240x = 353,418,703,324 × 353,418,703,324
  4. Step 4: Simplify right side
    161,511,556,240x = 124,904,779,859,217,524,719,616
  5. Step 5: Solve for x
    x = 124,904,779,859,217,524,719,616/161,511,556,240
  6. Step 6: Final answer
    x = 773,348,872,161.28

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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.