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Finding the Third Proportional to 85,810.50 and 184,535.63

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Solution

The third proportional to 85,810.50 and 184,535.63 is: 396,844.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,810.50 : 184,535.63 = 184,535.63 : x
  2. Step 2: Convert to fraction form
    85,810.50/184,535.63 = 184,535.63/x
  3. Step 3: Cross multiply
    85,810.50x = 184,535.63 × 184,535.63
  4. Step 4: Simplify right side
    85,810.50x = 34,053,396,894.14
  5. Step 5: Solve for x
    x = 34,053,396,894.14/85,810.50
  6. Step 6: Final answer
    x = 396,844.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.