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Finding the Third Proportional to 91,181 and 197,482

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Solution

The third proportional to 91,181 and 197,482 is: 427,711.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,181 : 197,482 = 197,482 : x
  2. Step 2: Convert to fraction form
    91,181/197,482 = 197,482/x
  3. Step 3: Cross multiply
    91,181x = 197,482 × 197,482
  4. Step 4: Simplify right side
    91,181x = 38,999,140,324
  5. Step 5: Solve for x
    x = 38,999,140,324/91,181
  6. Step 6: Final answer
    x = 427,711.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.