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Finding the Third Proportional to 144,207,179,782 and 211,990,951,483

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Solution

The third proportional to 144,207,179,782 and 211,990,951,483 is: 311,636,102,852.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,207,179,782 : 211,990,951,483 = 211,990,951,483 : x
  2. Step 2: Convert to fraction form
    144,207,179,782/211,990,951,483 = 211,990,951,483/x
  3. Step 3: Cross multiply
    144,207,179,782x = 211,990,951,483 × 211,990,951,483
  4. Step 4: Simplify right side
    144,207,179,782x = 44,940,163,510,667,659,182,080
  5. Step 5: Solve for x
    x = 44,940,163,510,667,659,182,080/144,207,179,782
  6. Step 6: Final answer
    x = 311,636,102,852.88

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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.