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Finding the Third Proportional to 91,994 and 201,652

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Solution

The third proportional to 91,994 and 201,652 is: 442,023.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,994 : 201,652 = 201,652 : x
  2. Step 2: Convert to fraction form
    91,994/201,652 = 201,652/x
  3. Step 3: Cross multiply
    91,994x = 201,652 × 201,652
  4. Step 4: Simplify right side
    91,994x = 40,663,529,104
  5. Step 5: Solve for x
    x = 40,663,529,104/91,994
  6. Step 6: Final answer
    x = 442,023.71

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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.