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Finding the Third Proportional to 214,150,879.50 and 288,939,816.75

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Solution

The third proportional to 214,150,879.50 and 288,939,816.75 is: 389,847,652.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,150,879.50 : 288,939,816.75 = 288,939,816.75 : x
  2. Step 2: Convert to fraction form
    214,150,879.50/288,939,816.75 = 288,939,816.75/x
  3. Step 3: Cross multiply
    214,150,879.50x = 288,939,816.75 × 288,939,816.75
  4. Step 4: Simplify right side
    214,150,879.50x = 83,486,217,703,523,584
  5. Step 5: Solve for x
    x = 83,486,217,703,523,584/214,150,879.50
  6. Step 6: Final answer
    x = 389,847,652.73

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.