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Finding the Third Proportional to 107,317.97 and 233,073.56

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Solution

The third proportional to 107,317.97 and 233,073.56 is: 506,190.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,317.97 : 233,073.56 = 233,073.56 : x
  2. Step 2: Convert to fraction form
    107,317.97/233,073.56 = 233,073.56/x
  3. Step 3: Cross multiply
    107,317.97x = 233,073.56 × 233,073.56
  4. Step 4: Simplify right side
    107,317.97x = 54,323,285,536.44
  5. Step 5: Solve for x
    x = 54,323,285,536.44/107,317.97
  6. Step 6: Final answer
    x = 506,190.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.