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Finding the Third Proportional to 92,783 and 202,414

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Solution

The third proportional to 92,783 and 202,414 is: 441,583.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,783 : 202,414 = 202,414 : x
  2. Step 2: Convert to fraction form
    92,783/202,414 = 202,414/x
  3. Step 3: Cross multiply
    92,783x = 202,414 × 202,414
  4. Step 4: Simplify right side
    92,783x = 40,971,427,396
  5. Step 5: Solve for x
    x = 40,971,427,396/92,783
  6. Step 6: Final answer
    x = 441,583.34

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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.