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Finding the Third Proportional to 44,967.75 and 96,166.13

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Solution

The third proportional to 44,967.75 and 96,166.13 is: 205,656.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,967.75 : 96,166.13 = 96,166.13 : x
  2. Step 2: Convert to fraction form
    44,967.75/96,166.13 = 96,166.13/x
  3. Step 3: Cross multiply
    44,967.75x = 96,166.13 × 96,166.13
  4. Step 4: Simplify right side
    44,967.75x = 9,247,923,597.52
  5. Step 5: Solve for x
    x = 9,247,923,597.52/44,967.75
  6. Step 6: Final answer
    x = 205,656.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.