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Finding the Third Proportional to 110,843.44 and 243,131.63

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Solution

The third proportional to 110,843.44 and 243,131.63 is: 533,301.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,843.44 : 243,131.63 = 243,131.63 : x
  2. Step 2: Convert to fraction form
    110,843.44/243,131.63 = 243,131.63/x
  3. Step 3: Cross multiply
    110,843.44x = 243,131.63 × 243,131.63
  4. Step 4: Simplify right side
    110,843.44x = 59,112,987,075.14
  5. Step 5: Solve for x
    x = 59,112,987,075.14/110,843.44
  6. Step 6: Final answer
    x = 533,301.64

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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.