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Finding the Third Proportional to 83,858,564.93 and 184,352,282.67

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Solution

The third proportional to 83,858,564.93 and 184,352,282.67 is: 405,274,811.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,858,564.93 : 184,352,282.67 = 184,352,282.67 : x
  2. Step 2: Convert to fraction form
    83,858,564.93/184,352,282.67 = 184,352,282.67/x
  3. Step 3: Cross multiply
    83,858,564.93x = 184,352,282.67 × 184,352,282.67
  4. Step 4: Simplify right side
    83,858,564.93x = 33,985,764,126,192,640
  5. Step 5: Solve for x
    x = 33,985,764,126,192,640/83,858,564.93
  6. Step 6: Final answer
    x = 405,274,811.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.