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Finding the Third Proportional to 95,243.34 and 208,195.31

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Solution

The third proportional to 95,243.34 and 208,195.31 is: 455,100.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,243.34 : 208,195.31 = 208,195.31 : x
  2. Step 2: Convert to fraction form
    95,243.34/208,195.31 = 208,195.31/x
  3. Step 3: Cross multiply
    95,243.34x = 208,195.31 × 208,195.31
  4. Step 4: Simplify right side
    95,243.34x = 43,345,288,146.97
  5. Step 5: Solve for x
    x = 43,345,288,146.97/95,243.34
  6. Step 6: Final answer
    x = 455,100.45

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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.