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Finding the Third Proportional to 92,150 and 201,824

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Solution

The third proportional to 92,150 and 201,824 is: 442,028.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,150 : 201,824 = 201,824 : x
  2. Step 2: Convert to fraction form
    92,150/201,824 = 201,824/x
  3. Step 3: Cross multiply
    92,150x = 201,824 × 201,824
  4. Step 4: Simplify right side
    92,150x = 40,732,926,976
  5. Step 5: Solve for x
    x = 40,732,926,976/92,150
  6. Step 6: Final answer
    x = 442,028.51

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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.