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Finding the Third Proportional to 86,281.13 and 184,556.63

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Solution

The third proportional to 86,281.13 and 184,556.63 is: 394,769.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,281.13 : 184,556.63 = 184,556.63 : x
  2. Step 2: Convert to fraction form
    86,281.13/184,556.63 = 184,556.63/x
  3. Step 3: Cross multiply
    86,281.13x = 184,556.63 × 184,556.63
  4. Step 4: Simplify right side
    86,281.13x = 34,061,147,831.39
  5. Step 5: Solve for x
    x = 34,061,147,831.39/86,281.13
  6. Step 6: Final answer
    x = 394,769.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.