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Finding the Third Proportional to 104,055.89 and 227,715.05

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Solution

The third proportional to 104,055.89 and 227,715.05 is: 498,329.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,055.89 : 227,715.05 = 227,715.05 : x
  2. Step 2: Convert to fraction form
    104,055.89/227,715.05 = 227,715.05/x
  3. Step 3: Cross multiply
    104,055.89x = 227,715.05 × 227,715.05
  4. Step 4: Simplify right side
    104,055.89x = 51,854,142,573.28
  5. Step 5: Solve for x
    x = 51,854,142,573.28/104,055.89
  6. Step 6: Final answer
    x = 498,329.72

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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.