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Finding the Third Proportional to 241,848,745.50 and 364,777,507.50

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Solution

The third proportional to 241,848,745.50 and 364,777,507.50 is: 550,189,457.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,848,745.50 : 364,777,507.50 = 364,777,507.50 : x
  2. Step 2: Convert to fraction form
    241,848,745.50/364,777,507.50 = 364,777,507.50/x
  3. Step 3: Cross multiply
    241,848,745.50x = 364,777,507.50 × 364,777,507.50
  4. Step 4: Simplify right side
    241,848,745.50x = 133,062,629,977,912,560
  5. Step 5: Solve for x
    x = 133,062,629,977,912,560/241,848,745.50
  6. Step 6: Final answer
    x = 550,189,457.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.