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Finding the Third Proportional to 107,809,222 and 234,507,728

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Solution

The third proportional to 107,809,222 and 234,507,728 is: 510,103,620.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,809,222 : 234,507,728 = 234,507,728 : x
  2. Step 2: Convert to fraction form
    107,809,222/234,507,728 = 234,507,728/x
  3. Step 3: Cross multiply
    107,809,222x = 234,507,728 × 234,507,728
  4. Step 4: Simplify right side
    107,809,222x = 54,993,874,491,721,984
  5. Step 5: Solve for x
    x = 54,993,874,491,721,984/107,809,222
  6. Step 6: Final answer
    x = 510,103,620.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.