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Finding the Third Proportional to 96,293.81 and 214,715.81

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Solution

The third proportional to 96,293.81 and 214,715.81 is: 478,773.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,293.81 : 214,715.81 = 214,715.81 : x
  2. Step 2: Convert to fraction form
    96,293.81/214,715.81 = 214,715.81/x
  3. Step 3: Cross multiply
    96,293.81x = 214,715.81 × 214,715.81
  4. Step 4: Simplify right side
    96,293.81x = 46,102,880,137.54
  5. Step 5: Solve for x
    x = 46,102,880,137.54/96,293.81
  6. Step 6: Final answer
    x = 478,773.03

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.