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Finding the Third Proportional to 92,066 and 201,700

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Solution

The third proportional to 92,066 and 201,700 is: 441,888.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,066 : 201,700 = 201,700 : x
  2. Step 2: Convert to fraction form
    92,066/201,700 = 201,700/x
  3. Step 3: Cross multiply
    92,066x = 201,700 × 201,700
  4. Step 4: Simplify right side
    92,066x = 40,682,890,000
  5. Step 5: Solve for x
    x = 40,682,890,000/92,066
  6. Step 6: Final answer
    x = 441,888.32

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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.