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Finding the Third Proportional to 94,177.69 and 205,471.69

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Solution

The third proportional to 94,177.69 and 205,471.69 is: 448,286.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,177.69 : 205,471.69 = 205,471.69 : x
  2. Step 2: Convert to fraction form
    94,177.69/205,471.69 = 205,471.69/x
  3. Step 3: Cross multiply
    94,177.69x = 205,471.69 × 205,471.69
  4. Step 4: Simplify right side
    94,177.69x = 42,218,614,364.10
  5. Step 5: Solve for x
    x = 42,218,614,364.10/94,177.69
  6. Step 6: Final answer
    x = 448,286.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.