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Finding the Third Proportional to 99,597.75 and 215,790.38

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Solution

The third proportional to 99,597.75 and 215,790.38 is: 467,535.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,597.75 : 215,790.38 = 215,790.38 : x
  2. Step 2: Convert to fraction form
    99,597.75/215,790.38 = 215,790.38/x
  3. Step 3: Cross multiply
    99,597.75x = 215,790.38 × 215,790.38
  4. Step 4: Simplify right side
    99,597.75x = 46,565,485,942.64
  5. Step 5: Solve for x
    x = 46,565,485,942.64/99,597.75
  6. Step 6: Final answer
    x = 467,535.52

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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.