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Finding the Third Proportional to 223,470,990 and 481,095,138

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Solution

The third proportional to 223,470,990 and 481,095,138 is: 1,035,716,232.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,470,990 : 481,095,138 = 481,095,138 : x
  2. Step 2: Convert to fraction form
    223,470,990/481,095,138 = 481,095,138/x
  3. Step 3: Cross multiply
    223,470,990x = 481,095,138 × 481,095,138
  4. Step 4: Simplify right side
    223,470,990x = 231,452,531,807,239,040
  5. Step 5: Solve for x
    x = 231,452,531,807,239,040/223,470,990
  6. Step 6: Final answer
    x = 1,035,716,232.37

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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.