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Finding the Third Proportional to 99,634.88 and 215,550.75

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Solution

The third proportional to 99,634.88 and 215,550.75 is: 466,323.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,634.88 : 215,550.75 = 215,550.75 : x
  2. Step 2: Convert to fraction form
    99,634.88/215,550.75 = 215,550.75/x
  3. Step 3: Cross multiply
    99,634.88x = 215,550.75 × 215,550.75
  4. Step 4: Simplify right side
    99,634.88x = 46,462,125,825.56
  5. Step 5: Solve for x
    x = 46,462,125,825.56/99,634.88
  6. Step 6: Final answer
    x = 466,323.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.