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Finding the Third Proportional to 121,299.19 and 263,214.56

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Solution

The third proportional to 121,299.19 and 263,214.56 is: 571,165.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,299.19 : 263,214.56 = 263,214.56 : x
  2. Step 2: Convert to fraction form
    121,299.19/263,214.56 = 263,214.56/x
  3. Step 3: Cross multiply
    121,299.19x = 263,214.56 × 263,214.56
  4. Step 4: Simplify right side
    121,299.19x = 69,281,905,912.07
  5. Step 5: Solve for x
    x = 69,281,905,912.07/121,299.19
  6. Step 6: Final answer
    x = 571,165.46

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.