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Finding the Third Proportional to 161,511,556,246 and 353,418,703,336

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Solution

The third proportional to 161,511,556,246 and 353,418,703,336 is: 773,348,872,185.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,511,556,246 : 353,418,703,336 = 353,418,703,336 : x
  2. Step 2: Convert to fraction form
    161,511,556,246/353,418,703,336 = 353,418,703,336/x
  3. Step 3: Cross multiply
    161,511,556,246x = 353,418,703,336 × 353,418,703,336
  4. Step 4: Simplify right side
    161,511,556,246x = 124,904,779,867,699,581,812,736
  5. Step 5: Solve for x
    x = 124,904,779,867,699,581,812,736/161,511,556,246
  6. Step 6: Final answer
    x = 773,348,872,185.07

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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.