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Finding the Third Proportional to 106,083,078 and 227,666,532

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Solution

The third proportional to 106,083,078 and 227,666,532 is: 488,598,660.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,083,078 : 227,666,532 = 227,666,532 : x
  2. Step 2: Convert to fraction form
    106,083,078/227,666,532 = 227,666,532/x
  3. Step 3: Cross multiply
    106,083,078x = 227,666,532 × 227,666,532
  4. Step 4: Simplify right side
    106,083,078x = 51,832,049,792,907,024
  5. Step 5: Solve for x
    x = 51,832,049,792,907,024/106,083,078
  6. Step 6: Final answer
    x = 488,598,660.32

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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.