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Finding the Third Proportional to 88,371 and 184,224.38

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Solution

The third proportional to 88,371 and 184,224.38 is: 384,047.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,371 : 184,224.38 = 184,224.38 : x
  2. Step 2: Convert to fraction form
    88,371/184,224.38 = 184,224.38/x
  3. Step 3: Cross multiply
    88,371x = 184,224.38 × 184,224.38
  4. Step 4: Simplify right side
    88,371x = 33,938,620,344.14
  5. Step 5: Solve for x
    x = 33,938,620,344.14/88,371
  6. Step 6: Final answer
    x = 384,047.03

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.