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Finding the Third Proportional to 186,926.91 and 410,043.09

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Solution

The third proportional to 186,926.91 and 410,043.09 is: 899,471.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,926.91 : 410,043.09 = 410,043.09 : x
  2. Step 2: Convert to fraction form
    186,926.91/410,043.09 = 410,043.09/x
  3. Step 3: Cross multiply
    186,926.91x = 410,043.09 × 410,043.09
  4. Step 4: Simplify right side
    186,926.91x = 168,135,338,732.07
  5. Step 5: Solve for x
    x = 168,135,338,732.07/186,926.91
  6. Step 6: Final answer
    x = 899,471.04

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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.