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Finding the Third Proportional to 41,003,204.25 and 90,364,165.50

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Solution

The third proportional to 41,003,204.25 and 90,364,165.50 is: 199,147,421.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,003,204.25 : 90,364,165.50 = 90,364,165.50 : x
  2. Step 2: Convert to fraction form
    41,003,204.25/90,364,165.50 = 90,364,165.50/x
  3. Step 3: Cross multiply
    41,003,204.25x = 90,364,165.50 × 90,364,165.50
  4. Step 4: Simplify right side
    41,003,204.25x = 8,165,682,406,511,390
  5. Step 5: Solve for x
    x = 8,165,682,406,511,390/41,003,204.25
  6. Step 6: Final answer
    x = 199,147,421.67

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