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Finding the Third Proportional to 208,187,190 and 462,922,063

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Solution

The third proportional to 208,187,190 and 462,922,063 is: 1,029,346,889.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,187,190 : 462,922,063 = 462,922,063 : x
  2. Step 2: Convert to fraction form
    208,187,190/462,922,063 = 462,922,063/x
  3. Step 3: Cross multiply
    208,187,190x = 462,922,063 × 462,922,063
  4. Step 4: Simplify right side
    208,187,190x = 214,296,836,412,175,968
  5. Step 5: Solve for x
    x = 214,296,836,412,175,968/208,187,190
  6. Step 6: Final answer
    x = 1,029,346,889.27

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.