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Finding the Third Proportional to 171,005,439 and 283,040,032.50

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Solution

The third proportional to 171,005,439 and 283,040,032.50 is: 468,474,338.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,005,439 : 283,040,032.50 = 283,040,032.50 : x
  2. Step 2: Convert to fraction form
    171,005,439/283,040,032.50 = 283,040,032.50/x
  3. Step 3: Cross multiply
    171,005,439x = 283,040,032.50 × 283,040,032.50
  4. Step 4: Simplify right side
    171,005,439x = 80,111,659,997,601,056
  5. Step 5: Solve for x
    x = 80,111,659,997,601,056/171,005,439
  6. Step 6: Final answer
    x = 468,474,338.98

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.