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Finding the Third Proportional to 91,056 and 198,716

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Solution

The third proportional to 91,056 and 198,716 is: 433,667.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,056 : 198,716 = 198,716 : x
  2. Step 2: Convert to fraction form
    91,056/198,716 = 198,716/x
  3. Step 3: Cross multiply
    91,056x = 198,716 × 198,716
  4. Step 4: Simplify right side
    91,056x = 39,488,048,656
  5. Step 5: Solve for x
    x = 39,488,048,656/91,056
  6. Step 6: Final answer
    x = 433,667.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.