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Finding the Third Proportional to 223,470,992 and 481,095,142

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Solution

The third proportional to 223,470,992 and 481,095,142 is: 1,035,716,240.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,470,992 : 481,095,142 = 481,095,142 : x
  2. Step 2: Convert to fraction form
    223,470,992/481,095,142 = 481,095,142/x
  3. Step 3: Cross multiply
    223,470,992x = 481,095,142 × 481,095,142
  4. Step 4: Simplify right side
    223,470,992x = 231,452,535,656,000,160
  5. Step 5: Solve for x
    x = 231,452,535,656,000,160/223,470,992
  6. Step 6: Final answer
    x = 1,035,716,240.33

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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.