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Finding the Third Proportional to 96,543.56 and 209,169

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Solution

The third proportional to 96,543.56 and 209,169 is: 453,180.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,543.56 : 209,169 = 209,169 : x
  2. Step 2: Convert to fraction form
    96,543.56/209,169 = 209,169/x
  3. Step 3: Cross multiply
    96,543.56x = 209,169 × 209,169
  4. Step 4: Simplify right side
    96,543.56x = 43,751,670,561
  5. Step 5: Solve for x
    x = 43,751,670,561/96,543.56
  6. Step 6: Final answer
    x = 453,180.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.