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Finding the Third Proportional to 92,711 and 202,340

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Solution

The third proportional to 92,711 and 202,340 is: 441,603.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,711 : 202,340 = 202,340 : x
  2. Step 2: Convert to fraction form
    92,711/202,340 = 202,340/x
  3. Step 3: Cross multiply
    92,711x = 202,340 × 202,340
  4. Step 4: Simplify right side
    92,711x = 40,941,475,600
  5. Step 5: Solve for x
    x = 40,941,475,600/92,711
  6. Step 6: Final answer
    x = 441,603.21

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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.