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Finding the Third Proportional to 94,052.25 and 190,534.50

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Solution

The third proportional to 94,052.25 and 190,534.50 is: 385,991.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,052.25 : 190,534.50 = 190,534.50 : x
  2. Step 2: Convert to fraction form
    94,052.25/190,534.50 = 190,534.50/x
  3. Step 3: Cross multiply
    94,052.25x = 190,534.50 × 190,534.50
  4. Step 4: Simplify right side
    94,052.25x = 36,303,395,690.25
  5. Step 5: Solve for x
    x = 36,303,395,690.25/94,052.25
  6. Step 6: Final answer
    x = 385,991.78

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.