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Finding the Third Proportional to 144,207,179,784.50 and 211,990,951,487.25

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Solution

The third proportional to 144,207,179,784.50 and 211,990,951,487.25 is: 311,636,102,859.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,207,179,784.50 : 211,990,951,487.25 = 211,990,951,487.25 : x
  2. Step 2: Convert to fraction form
    144,207,179,784.50/211,990,951,487.25 = 211,990,951,487.25/x
  3. Step 3: Cross multiply
    144,207,179,784.50x = 211,990,951,487.25 × 211,990,951,487.25
  4. Step 4: Simplify right side
    144,207,179,784.50x = 44,940,163,512,469,582,512,128
  5. Step 5: Solve for x
    x = 44,940,163,512,469,582,512,128/144,207,179,784.50
  6. Step 6: Final answer
    x = 311,636,102,859.98

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