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Finding the Third Proportional to 227,703,816 and 489,990,096

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Solution

The third proportional to 227,703,816 and 489,990,096 is: 1,054,397,323.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,703,816 : 489,990,096 = 489,990,096 : x
  2. Step 2: Convert to fraction form
    227,703,816/489,990,096 = 489,990,096/x
  3. Step 3: Cross multiply
    227,703,816x = 489,990,096 × 489,990,096
  4. Step 4: Simplify right side
    227,703,816x = 240,090,294,178,089,216
  5. Step 5: Solve for x
    x = 240,090,294,178,089,216/227,703,816
  6. Step 6: Final answer
    x = 1,054,397,323.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.