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Finding the Third Proportional to 220,184,865 and 349,804,131.19

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Solution

The third proportional to 220,184,865 and 349,804,131.19 is: 555,728,161.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,184,865 : 349,804,131.19 = 349,804,131.19 : x
  2. Step 2: Convert to fraction form
    220,184,865/349,804,131.19 = 349,804,131.19/x
  3. Step 3: Cross multiply
    220,184,865x = 349,804,131.19 × 349,804,131.19
  4. Step 4: Simplify right side
    220,184,865x = 122,362,930,195,841,712
  5. Step 5: Solve for x
    x = 122,362,930,195,841,712/220,184,865
  6. Step 6: Final answer
    x = 555,728,161.41

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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.