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Finding the Third Proportional to 85,744.13 and 188,457.75

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Solution

The third proportional to 85,744.13 and 188,457.75 is: 414,212.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,744.13 : 188,457.75 = 188,457.75 : x
  2. Step 2: Convert to fraction form
    85,744.13/188,457.75 = 188,457.75/x
  3. Step 3: Cross multiply
    85,744.13x = 188,457.75 × 188,457.75
  4. Step 4: Simplify right side
    85,744.13x = 35,516,323,535.06
  5. Step 5: Solve for x
    x = 35,516,323,535.06/85,744.13
  6. Step 6: Final answer
    x = 414,212.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.