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Finding the Third Proportional to 171,005,440 and 283,040,034

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Solution

The third proportional to 171,005,440 and 283,040,034 is: 468,474,341.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,005,440 : 283,040,034 = 283,040,034 : x
  2. Step 2: Convert to fraction form
    171,005,440/283,040,034 = 283,040,034/x
  3. Step 3: Cross multiply
    171,005,440x = 283,040,034 × 283,040,034
  4. Step 4: Simplify right side
    171,005,440x = 80,111,660,846,721,152
  5. Step 5: Solve for x
    x = 80,111,660,846,721,152/171,005,440
  6. Step 6: Final answer
    x = 468,474,341.21

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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.