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Finding the Third Proportional to 80,417,716.50 and 175,582,923

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Solution

The third proportional to 80,417,716.50 and 175,582,923 is: 383,365,310.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,417,716.50 : 175,582,923 = 175,582,923 : x
  2. Step 2: Convert to fraction form
    80,417,716.50/175,582,923 = 175,582,923/x
  3. Step 3: Cross multiply
    80,417,716.50x = 175,582,923 × 175,582,923
  4. Step 4: Simplify right side
    80,417,716.50x = 30,829,362,849,223,928
  5. Step 5: Solve for x
    x = 30,829,362,849,223,928/80,417,716.50
  6. Step 6: Final answer
    x = 383,365,310.42

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.