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Finding the Third Proportional to 186,921.19 and 410,027.81

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Solution

The third proportional to 186,921.19 and 410,027.81 is: 899,431.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,921.19 : 410,027.81 = 410,027.81 : x
  2. Step 2: Convert to fraction form
    186,921.19/410,027.81 = 410,027.81/x
  3. Step 3: Cross multiply
    186,921.19x = 410,027.81 × 410,027.81
  4. Step 4: Simplify right side
    186,921.19x = 168,122,807,023.54
  5. Step 5: Solve for x
    x = 168,122,807,023.54/186,921.19
  6. Step 6: Final answer
    x = 899,431.52

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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.