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Finding the Third Proportional to 96,556.22 and 141,377.63

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Solution

The third proportional to 96,556.22 and 141,377.63 is: 207,005.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,556.22 : 141,377.63 = 141,377.63 : x
  2. Step 2: Convert to fraction form
    96,556.22/141,377.63 = 141,377.63/x
  3. Step 3: Cross multiply
    96,556.22x = 141,377.63 × 141,377.63
  4. Step 4: Simplify right side
    96,556.22x = 19,987,632,850.64
  5. Step 5: Solve for x
    x = 19,987,632,850.64/96,556.22
  6. Step 6: Final answer
    x = 207,005.13

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.