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Finding the Third Proportional to 188,497.13 and 410,232.09

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Solution

The third proportional to 188,497.13 and 410,232.09 is: 892,800.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,497.13 : 410,232.09 = 410,232.09 : x
  2. Step 2: Convert to fraction form
    188,497.13/410,232.09 = 410,232.09/x
  3. Step 3: Cross multiply
    188,497.13x = 410,232.09 × 410,232.09
  4. Step 4: Simplify right side
    188,497.13x = 168,290,370,742.51
  5. Step 5: Solve for x
    x = 168,290,370,742.51/188,497.13
  6. Step 6: Final answer
    x = 892,800.73

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.