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Finding the Third Proportional to 110,502,786 and 184,160,211

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Solution

The third proportional to 110,502,786 and 184,160,211 is: 306,915,187.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,502,786 : 184,160,211 = 184,160,211 : x
  2. Step 2: Convert to fraction form
    110,502,786/184,160,211 = 184,160,211/x
  3. Step 3: Cross multiply
    110,502,786x = 184,160,211 × 184,160,211
  4. Step 4: Simplify right side
    110,502,786x = 33,914,983,315,564,520
  5. Step 5: Solve for x
    x = 33,914,983,315,564,520/110,502,786
  6. Step 6: Final answer
    x = 306,915,187.78

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.