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Finding the Third Proportional to 158,608,464.75 and 242,471,463.75

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Solution

The third proportional to 158,608,464.75 and 242,471,463.75 is: 370,676,374.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,608,464.75 : 242,471,463.75 = 242,471,463.75 : x
  2. Step 2: Convert to fraction form
    158,608,464.75/242,471,463.75 = 242,471,463.75/x
  3. Step 3: Cross multiply
    158,608,464.75x = 242,471,463.75 × 242,471,463.75
  4. Step 4: Simplify right side
    158,608,464.75x = 58,792,410,733,067,568
  5. Step 5: Solve for x
    x = 58,792,410,733,067,568/158,608,464.75
  6. Step 6: Final answer
    x = 370,676,374.84

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.