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Finding the Third Proportional to 85,203.14 and 184,511.67

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Solution

The third proportional to 85,203.14 and 184,511.67 is: 399,569.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,203.14 : 184,511.67 = 184,511.67 : x
  2. Step 2: Convert to fraction form
    85,203.14/184,511.67 = 184,511.67/x
  3. Step 3: Cross multiply
    85,203.14x = 184,511.67 × 184,511.67
  4. Step 4: Simplify right side
    85,203.14x = 34,044,557,058.11
  5. Step 5: Solve for x
    x = 34,044,557,058.11/85,203.14
  6. Step 6: Final answer
    x = 399,569.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.