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Finding the Third Proportional to 43,902 and 96,166.13

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Solution

The third proportional to 43,902 and 96,166.13 is: 210,649.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,902 : 96,166.13 = 96,166.13 : x
  2. Step 2: Convert to fraction form
    43,902/96,166.13 = 96,166.13/x
  3. Step 3: Cross multiply
    43,902x = 96,166.13 × 96,166.13
  4. Step 4: Simplify right side
    43,902x = 9,247,923,597.52
  5. Step 5: Solve for x
    x = 9,247,923,597.52/43,902
  6. Step 6: Final answer
    x = 210,649.26

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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.