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Finding the Third Proportional to 103,622,406 and 223,386,512

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Solution

The third proportional to 103,622,406 and 223,386,512 is: 481,570,884.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,622,406 : 223,386,512 = 223,386,512 : x
  2. Step 2: Convert to fraction form
    103,622,406/223,386,512 = 223,386,512/x
  3. Step 3: Cross multiply
    103,622,406x = 223,386,512 × 223,386,512
  4. Step 4: Simplify right side
    103,622,406x = 49,901,533,743,526,144
  5. Step 5: Solve for x
    x = 49,901,533,743,526,144/103,622,406
  6. Step 6: Final answer
    x = 481,570,884.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.