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Finding the Third Proportional to 39,415.50 and 86,494.50

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Solution

The third proportional to 39,415.50 and 86,494.50 is: 189,806.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,415.50 : 86,494.50 = 86,494.50 : x
  2. Step 2: Convert to fraction form
    39,415.50/86,494.50 = 86,494.50/x
  3. Step 3: Cross multiply
    39,415.50x = 86,494.50 × 86,494.50
  4. Step 4: Simplify right side
    39,415.50x = 7,481,298,530.25
  5. Step 5: Solve for x
    x = 7,481,298,530.25/39,415.50
  6. Step 6: Final answer
    x = 189,806.00

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.