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Finding the Third Proportional to 100,580.25 and 217,494.56

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Solution

The third proportional to 100,580.25 and 217,494.56 is: 470,309.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,580.25 : 217,494.56 = 217,494.56 : x
  2. Step 2: Convert to fraction form
    100,580.25/217,494.56 = 217,494.56/x
  3. Step 3: Cross multiply
    100,580.25x = 217,494.56 × 217,494.56
  4. Step 4: Simplify right side
    100,580.25x = 47,303,884,717.07
  5. Step 5: Solve for x
    x = 47,303,884,717.07/100,580.25
  6. Step 6: Final answer
    x = 470,309.87

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.