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Finding the Third Proportional to 91,202 and 199,036

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Solution

The third proportional to 91,202 and 199,036 is: 434,369.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,202 : 199,036 = 199,036 : x
  2. Step 2: Convert to fraction form
    91,202/199,036 = 199,036/x
  3. Step 3: Cross multiply
    91,202x = 199,036 × 199,036
  4. Step 4: Simplify right side
    91,202x = 39,615,329,296
  5. Step 5: Solve for x
    x = 39,615,329,296/91,202
  6. Step 6: Final answer
    x = 434,369.09

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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.