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Finding the Third Proportional to 96,299 and 214,726

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Solution

The third proportional to 96,299 and 214,726 is: 478,792.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,299 : 214,726 = 214,726 : x
  2. Step 2: Convert to fraction form
    96,299/214,726 = 214,726/x
  3. Step 3: Cross multiply
    96,299x = 214,726 × 214,726
  4. Step 4: Simplify right side
    96,299x = 46,107,255,076
  5. Step 5: Solve for x
    x = 46,107,255,076/96,299
  6. Step 6: Final answer
    x = 478,792.67

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Why These Related Problems?

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