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Finding the Third Proportional to 220,184,869 and 349,804,137

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Solution

The third proportional to 220,184,869 and 349,804,137 is: 555,728,169.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,184,869 : 349,804,137 = 349,804,137 : x
  2. Step 2: Convert to fraction form
    220,184,869/349,804,137 = 349,804,137/x
  3. Step 3: Cross multiply
    220,184,869x = 349,804,137 × 349,804,137
  4. Step 4: Simplify right side
    220,184,869x = 122,362,934,262,314,768
  5. Step 5: Solve for x
    x = 122,362,934,262,314,768/220,184,869
  6. Step 6: Final answer
    x = 555,728,169.78

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.