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Finding the Third Proportional to 91,696.50 and 200,889

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Solution

The third proportional to 91,696.50 and 200,889 is: 440,108.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,696.50 : 200,889 = 200,889 : x
  2. Step 2: Convert to fraction form
    91,696.50/200,889 = 200,889/x
  3. Step 3: Cross multiply
    91,696.50x = 200,889 × 200,889
  4. Step 4: Simplify right side
    91,696.50x = 40,356,390,321
  5. Step 5: Solve for x
    x = 40,356,390,321/91,696.50
  6. Step 6: Final answer
    x = 440,108.30

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