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Finding the Third Proportional to 92,066 and 201,704

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Solution

The third proportional to 92,066 and 201,704 is: 441,905.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,066 : 201,704 = 201,704 : x
  2. Step 2: Convert to fraction form
    92,066/201,704 = 201,704/x
  3. Step 3: Cross multiply
    92,066x = 201,704 × 201,704
  4. Step 4: Simplify right side
    92,066x = 40,684,503,616
  5. Step 5: Solve for x
    x = 40,684,503,616/92,066
  6. Step 6: Final answer
    x = 441,905.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.