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Finding the Third Proportional to 91,827 and 201,696.75

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Solution

The third proportional to 91,827 and 201,696.75 is: 443,024.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,827 : 201,696.75 = 201,696.75 : x
  2. Step 2: Convert to fraction form
    91,827/201,696.75 = 201,696.75/x
  3. Step 3: Cross multiply
    91,827x = 201,696.75 × 201,696.75
  4. Step 4: Simplify right side
    91,827x = 40,681,578,960.56
  5. Step 5: Solve for x
    x = 40,681,578,960.56/91,827
  6. Step 6: Final answer
    x = 443,024.15

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.