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Finding the Third Proportional to 91,148 and 200,218

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Solution

The third proportional to 91,148 and 200,218 is: 439,803.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,148 : 200,218 = 200,218 : x
  2. Step 2: Convert to fraction form
    91,148/200,218 = 200,218/x
  3. Step 3: Cross multiply
    91,148x = 200,218 × 200,218
  4. Step 4: Simplify right side
    91,148x = 40,087,247,524
  5. Step 5: Solve for x
    x = 40,087,247,524/91,148
  6. Step 6: Final answer
    x = 439,803.92

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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.