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Finding the Third Proportional to 188,447.06 and 410,109.19

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Solution

The third proportional to 188,447.06 and 410,109.19 is: 892,502.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,447.06 : 410,109.19 = 410,109.19 : x
  2. Step 2: Convert to fraction form
    188,447.06/410,109.19 = 410,109.19/x
  3. Step 3: Cross multiply
    188,447.06x = 410,109.19 × 410,109.19
  4. Step 4: Simplify right side
    188,447.06x = 168,189,545,671.91
  5. Step 5: Solve for x
    x = 168,189,545,671.91/188,447.06
  6. Step 6: Final answer
    x = 892,502.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.