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Finding the Third Proportional to 94,223.25 and 201,522.94

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Solution

The third proportional to 94,223.25 and 201,522.94 is: 431,013.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,223.25 : 201,522.94 = 201,522.94 : x
  2. Step 2: Convert to fraction form
    94,223.25/201,522.94 = 201,522.94/x
  3. Step 3: Cross multiply
    94,223.25x = 201,522.94 × 201,522.94
  4. Step 4: Simplify right side
    94,223.25x = 40,611,494,338.63
  5. Step 5: Solve for x
    x = 40,611,494,338.63/94,223.25
  6. Step 6: Final answer
    x = 431,013.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.