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Finding the Third Proportional to 92,731 and 202,447

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Solution

The third proportional to 92,731 and 202,447 is: 441,975.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,731 : 202,447 = 202,447 : x
  2. Step 2: Convert to fraction form
    92,731/202,447 = 202,447/x
  3. Step 3: Cross multiply
    92,731x = 202,447 × 202,447
  4. Step 4: Simplify right side
    92,731x = 40,984,787,809
  5. Step 5: Solve for x
    x = 40,984,787,809/92,731
  6. Step 6: Final answer
    x = 441,975.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.