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Finding the Third Proportional to 84,114.07 and 185,296.99

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Solution

The third proportional to 84,114.07 and 185,296.99 is: 408,195.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,114.07 : 185,296.99 = 185,296.99 : x
  2. Step 2: Convert to fraction form
    84,114.07/185,296.99 = 185,296.99/x
  3. Step 3: Cross multiply
    84,114.07x = 185,296.99 × 185,296.99
  4. Step 4: Simplify right side
    84,114.07x = 34,334,975,313.73
  5. Step 5: Solve for x
    x = 34,334,975,313.73/84,114.07
  6. Step 6: Final answer
    x = 408,195.38

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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.