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Finding the Third Proportional to 84,195 and 184,216.50

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Solution

The third proportional to 84,195 and 184,216.50 is: 403,060.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,195 : 184,216.50 = 184,216.50 : x
  2. Step 2: Convert to fraction form
    84,195/184,216.50 = 184,216.50/x
  3. Step 3: Cross multiply
    84,195x = 184,216.50 × 184,216.50
  4. Step 4: Simplify right side
    84,195x = 33,935,718,872.25
  5. Step 5: Solve for x
    x = 33,935,718,872.25/84,195
  6. Step 6: Final answer
    x = 403,060.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.