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Finding the Third Proportional to 44,556.75 and 96,098.06

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Solution

The third proportional to 44,556.75 and 96,098.06 is: 207,260.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,556.75 : 96,098.06 = 96,098.06 : x
  2. Step 2: Convert to fraction form
    44,556.75/96,098.06 = 96,098.06/x
  3. Step 3: Cross multiply
    44,556.75x = 96,098.06 × 96,098.06
  4. Step 4: Simplify right side
    44,556.75x = 9,234,837,616.25
  5. Step 5: Solve for x
    x = 9,234,837,616.25/44,556.75
  6. Step 6: Final answer
    x = 207,260.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.