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Finding the Third Proportional to 110,502,783 and 184,160,205.84

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Solution

The third proportional to 110,502,783 and 184,160,205.84 is: 306,915,178.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,502,783 : 184,160,205.84 = 184,160,205.84 : x
  2. Step 2: Convert to fraction form
    110,502,783/184,160,205.84 = 184,160,205.84/x
  3. Step 3: Cross multiply
    110,502,783x = 184,160,205.84 × 184,160,205.84
  4. Step 4: Simplify right side
    110,502,783x = 33,914,981,416,412,372
  5. Step 5: Solve for x
    x = 33,914,981,416,412,372/110,502,783
  6. Step 6: Final answer
    x = 306,915,178.93

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