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Finding the Third Proportional to 86,243.63 and 188,518.50

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Solution

The third proportional to 86,243.63 and 188,518.50 is: 412,079.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,243.63 : 188,518.50 = 188,518.50 : x
  2. Step 2: Convert to fraction form
    86,243.63/188,518.50 = 188,518.50/x
  3. Step 3: Cross multiply
    86,243.63x = 188,518.50 × 188,518.50
  4. Step 4: Simplify right side
    86,243.63x = 35,539,224,842.25
  5. Step 5: Solve for x
    x = 35,539,224,842.25/86,243.63
  6. Step 6: Final answer
    x = 412,079.44

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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.