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Finding the Third Proportional to 50,314,511 and 107,804,569

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Solution

The third proportional to 50,314,511 and 107,804,569 is: 230,983,564.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,314,511 : 107,804,569 = 107,804,569 : x
  2. Step 2: Convert to fraction form
    50,314,511/107,804,569 = 107,804,569/x
  3. Step 3: Cross multiply
    50,314,511x = 107,804,569 × 107,804,569
  4. Step 4: Simplify right side
    50,314,511x = 11,621,825,097,275,760
  5. Step 5: Solve for x
    x = 11,621,825,097,275,760/50,314,511
  6. Step 6: Final answer
    x = 230,983,564.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.