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Finding the Third Proportional to 106,404.75 and 233,539.88

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Solution

The third proportional to 106,404.75 and 233,539.88 is: 512,579.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,404.75 : 233,539.88 = 233,539.88 : x
  2. Step 2: Convert to fraction form
    106,404.75/233,539.88 = 233,539.88/x
  3. Step 3: Cross multiply
    106,404.75x = 233,539.88 × 233,539.88
  4. Step 4: Simplify right side
    106,404.75x = 54,540,873,215.02
  5. Step 5: Solve for x
    x = 54,540,873,215.02/106,404.75
  6. Step 6: Final answer
    x = 512,579.31

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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.