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Finding the Third Proportional to 106,536.52 and 236,720.92

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Solution

The third proportional to 106,536.52 and 236,720.92 is: 525,986.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,536.52 : 236,720.92 = 236,720.92 : x
  2. Step 2: Convert to fraction form
    106,536.52/236,720.92 = 236,720.92/x
  3. Step 3: Cross multiply
    106,536.52x = 236,720.92 × 236,720.92
  4. Step 4: Simplify right side
    106,536.52x = 56,036,793,003.97
  5. Step 5: Solve for x
    x = 56,036,793,003.97/106,536.52
  6. Step 6: Final answer
    x = 525,986.73

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.