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Finding the Third Proportional to 85,591 and 190,851.50

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Solution

The third proportional to 85,591 and 190,851.50 is: 425,562.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,591 : 190,851.50 = 190,851.50 : x
  2. Step 2: Convert to fraction form
    85,591/190,851.50 = 190,851.50/x
  3. Step 3: Cross multiply
    85,591x = 190,851.50 × 190,851.50
  4. Step 4: Simplify right side
    85,591x = 36,424,295,052.25
  5. Step 5: Solve for x
    x = 36,424,295,052.25/85,591
  6. Step 6: Final answer
    x = 425,562.21

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.