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Finding the Third Proportional to 94,764 and 204,288.75

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Solution

The third proportional to 94,764 and 204,288.75 is: 440,398.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,764 : 204,288.75 = 204,288.75 : x
  2. Step 2: Convert to fraction form
    94,764/204,288.75 = 204,288.75/x
  3. Step 3: Cross multiply
    94,764x = 204,288.75 × 204,288.75
  4. Step 4: Simplify right side
    94,764x = 41,733,893,376.56
  5. Step 5: Solve for x
    x = 41,733,893,376.56/94,764
  6. Step 6: Final answer
    x = 440,398.18

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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.