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Finding the Third Proportional to 321,189,539,193 and 485,922,006,696

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Solution

The third proportional to 321,189,539,193 and 485,922,006,696 is: 735,142,860,457.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,189,539,193 : 485,922,006,696 = 485,922,006,696 : x
  2. Step 2: Convert to fraction form
    321,189,539,193/485,922,006,696 = 485,922,006,696/x
  3. Step 3: Cross multiply
    321,189,539,193x = 485,922,006,696 × 485,922,006,696
  4. Step 4: Simplify right side
    321,189,539,193x = 236,120,196,591,467,456,626,688
  5. Step 5: Solve for x
    x = 236,120,196,591,467,456,626,688/321,189,539,193
  6. Step 6: Final answer
    x = 735,142,860,457.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.