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Finding the Third Proportional to 144,207,179,772 and 211,990,951,468

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Solution

The third proportional to 144,207,179,772 and 211,990,951,468 is: 311,636,102,830.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,207,179,772 : 211,990,951,468 = 211,990,951,468 : x
  2. Step 2: Convert to fraction form
    144,207,179,772/211,990,951,468 = 211,990,951,468/x
  3. Step 3: Cross multiply
    144,207,179,772x = 211,990,951,468 × 211,990,951,468
  4. Step 4: Simplify right side
    144,207,179,772x = 44,940,163,504,307,928,301,568
  5. Step 5: Solve for x
    x = 44,940,163,504,307,928,301,568/144,207,179,772
  6. Step 6: Final answer
    x = 311,636,102,830.39

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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.