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Finding the Third Proportional to 174,816,760.50 and 262,160,947.50

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Solution

The third proportional to 174,816,760.50 and 262,160,947.50 is: 393,145,154.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,816,760.50 : 262,160,947.50 = 262,160,947.50 : x
  2. Step 2: Convert to fraction form
    174,816,760.50/262,160,947.50 = 262,160,947.50/x
  3. Step 3: Cross multiply
    174,816,760.50x = 262,160,947.50 × 262,160,947.50
  4. Step 4: Simplify right side
    174,816,760.50x = 68,728,362,394,097,760
  5. Step 5: Solve for x
    x = 68,728,362,394,097,760/174,816,760.50
  6. Step 6: Final answer
    x = 393,145,154.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.