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Finding the Third Proportional to 95,908.13 and 145,194.69

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Solution

The third proportional to 95,908.13 and 145,194.69 is: 219,809.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,908.13 : 145,194.69 = 145,194.69 : x
  2. Step 2: Convert to fraction form
    95,908.13/145,194.69 = 145,194.69/x
  3. Step 3: Cross multiply
    95,908.13x = 145,194.69 × 145,194.69
  4. Step 4: Simplify right side
    95,908.13x = 21,081,497,278.22
  5. Step 5: Solve for x
    x = 21,081,497,278.22/95,908.13
  6. Step 6: Final answer
    x = 219,809.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.