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Finding the Third Proportional to 144,207,179,774 and 211,990,951,471

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Solution

The third proportional to 144,207,179,774 and 211,990,951,471 is: 311,636,102,834.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,207,179,774 : 211,990,951,471 = 211,990,951,471 : x
  2. Step 2: Convert to fraction form
    144,207,179,774/211,990,951,471 = 211,990,951,471/x
  3. Step 3: Cross multiply
    144,207,179,774x = 211,990,951,471 × 211,990,951,471
  4. Step 4: Simplify right side
    144,207,179,774x = 44,940,163,505,579,876,155,392
  5. Step 5: Solve for x
    x = 44,940,163,505,579,876,155,392/144,207,179,774
  6. Step 6: Final answer
    x = 311,636,102,834.89

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.