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Finding the Third Proportional to 45,389.25 and 98,662.50

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Solution

The third proportional to 45,389.25 and 98,662.50 is: 214,462.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,389.25 : 98,662.50 = 98,662.50 : x
  2. Step 2: Convert to fraction form
    45,389.25/98,662.50 = 98,662.50/x
  3. Step 3: Cross multiply
    45,389.25x = 98,662.50 × 98,662.50
  4. Step 4: Simplify right side
    45,389.25x = 9,734,288,906.25
  5. Step 5: Solve for x
    x = 9,734,288,906.25/45,389.25
  6. Step 6: Final answer
    x = 214,462.43

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.