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Finding the Third Proportional to 91,966 and 201,158

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Solution

The third proportional to 91,966 and 201,158 is: 439,994.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,966 : 201,158 = 201,158 : x
  2. Step 2: Convert to fraction form
    91,966/201,158 = 201,158/x
  3. Step 3: Cross multiply
    91,966x = 201,158 × 201,158
  4. Step 4: Simplify right side
    91,966x = 40,464,540,964
  5. Step 5: Solve for x
    x = 40,464,540,964/91,966
  6. Step 6: Final answer
    x = 439,994.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.