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Finding the Third Proportional to 91,783 and 188,506

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Solution

The third proportional to 91,783 and 188,506 is: 387,157.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,783 : 188,506 = 188,506 : x
  2. Step 2: Convert to fraction form
    91,783/188,506 = 188,506/x
  3. Step 3: Cross multiply
    91,783x = 188,506 × 188,506
  4. Step 4: Simplify right side
    91,783x = 35,534,512,036
  5. Step 5: Solve for x
    x = 35,534,512,036/91,783
  6. Step 6: Final answer
    x = 387,157.88

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.