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Finding the Third Proportional to 80,214,441.75 and 175,749,324.75

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Solution

The third proportional to 80,214,441.75 and 175,749,324.75 is: 385,065,637.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,214,441.75 : 175,749,324.75 = 175,749,324.75 : x
  2. Step 2: Convert to fraction form
    80,214,441.75/175,749,324.75 = 175,749,324.75/x
  3. Step 3: Cross multiply
    80,214,441.75x = 175,749,324.75 × 175,749,324.75
  4. Step 4: Simplify right side
    80,214,441.75x = 30,887,825,150,080,964
  5. Step 5: Solve for x
    x = 30,887,825,150,080,964/80,214,441.75
  6. Step 6: Final answer
    x = 385,065,637.51

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.