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Finding the Third Proportional to 122,711,100 and 195,351,816

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Solution

The third proportional to 122,711,100 and 195,351,816 is: 310,993,316.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,711,100 : 195,351,816 = 195,351,816 : x
  2. Step 2: Convert to fraction form
    122,711,100/195,351,816 = 195,351,816/x
  3. Step 3: Cross multiply
    122,711,100x = 195,351,816 × 195,351,816
  4. Step 4: Simplify right side
    122,711,100x = 38,162,332,014,497,856
  5. Step 5: Solve for x
    x = 38,162,332,014,497,856/122,711,100
  6. Step 6: Final answer
    x = 310,993,316.94

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.