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Finding the Third Proportional to 92,594 and 201,916

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Solution

The third proportional to 92,594 and 201,916 is: 440,310.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,594 : 201,916 = 201,916 : x
  2. Step 2: Convert to fraction form
    92,594/201,916 = 201,916/x
  3. Step 3: Cross multiply
    92,594x = 201,916 × 201,916
  4. Step 4: Simplify right side
    92,594x = 40,770,071,056
  5. Step 5: Solve for x
    x = 40,770,071,056/92,594
  6. Step 6: Final answer
    x = 440,310.07

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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.