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Finding the Third Proportional to 96,292.13 and 214,712.44

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Solution

The third proportional to 96,292.13 and 214,712.44 is: 478,766.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,292.13 : 214,712.44 = 214,712.44 : x
  2. Step 2: Convert to fraction form
    96,292.13/214,712.44 = 214,712.44/x
  3. Step 3: Cross multiply
    96,292.13x = 214,712.44 × 214,712.44
  4. Step 4: Simplify right side
    96,292.13x = 46,101,430,817.19
  5. Step 5: Solve for x
    x = 46,101,430,817.19/96,292.13
  6. Step 6: Final answer
    x = 478,766.37

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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.