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Finding the Third Proportional to 84,195.50 and 184,246.50

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Solution

The third proportional to 84,195.50 and 184,246.50 is: 403,189.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,195.50 : 184,246.50 = 184,246.50 : x
  2. Step 2: Convert to fraction form
    84,195.50/184,246.50 = 184,246.50/x
  3. Step 3: Cross multiply
    84,195.50x = 184,246.50 × 184,246.50
  4. Step 4: Simplify right side
    84,195.50x = 33,946,772,762.25
  5. Step 5: Solve for x
    x = 33,946,772,762.25/84,195.50
  6. Step 6: Final answer
    x = 403,189.87

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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.