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Finding the Third Proportional to 91,384.88 and 190,082.53

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Solution

The third proportional to 91,384.88 and 190,082.53 is: 395,375.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,384.88 : 190,082.53 = 190,082.53 : x
  2. Step 2: Convert to fraction form
    91,384.88/190,082.53 = 190,082.53/x
  3. Step 3: Cross multiply
    91,384.88x = 190,082.53 × 190,082.53
  4. Step 4: Simplify right side
    91,384.88x = 36,131,368,686.41
  5. Step 5: Solve for x
    x = 36,131,368,686.41/91,384.88
  6. Step 6: Final answer
    x = 395,375.81

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.