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Finding the Third Proportional to 218,683,679.50 and 481,942,056.50

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Solution

The third proportional to 218,683,679.50 and 481,942,056.50 is: 1,062,119,250.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,683,679.50 : 481,942,056.50 = 481,942,056.50 : x
  2. Step 2: Convert to fraction form
    218,683,679.50/481,942,056.50 = 481,942,056.50/x
  3. Step 3: Cross multiply
    218,683,679.50x = 481,942,056.50 × 481,942,056.50
  4. Step 4: Simplify right side
    218,683,679.50x = 232,268,145,823,449,184
  5. Step 5: Solve for x
    x = 232,268,145,823,449,184/218,683,679.50
  6. Step 6: Final answer
    x = 1,062,119,250.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.