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Finding the Third Proportional to 90,823.50 and 199,710

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Solution

The third proportional to 90,823.50 and 199,710 is: 439,138.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,823.50 : 199,710 = 199,710 : x
  2. Step 2: Convert to fraction form
    90,823.50/199,710 = 199,710/x
  3. Step 3: Cross multiply
    90,823.50x = 199,710 × 199,710
  4. Step 4: Simplify right side
    90,823.50x = 39,884,084,100
  5. Step 5: Solve for x
    x = 39,884,084,100/90,823.50
  6. Step 6: Final answer
    x = 439,138.37

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.