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Finding the Third Proportional to 98,604.75 and 215,868

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Solution

The third proportional to 98,604.75 and 215,868 is: 472,583.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,604.75 : 215,868 = 215,868 : x
  2. Step 2: Convert to fraction form
    98,604.75/215,868 = 215,868/x
  3. Step 3: Cross multiply
    98,604.75x = 215,868 × 215,868
  4. Step 4: Simplify right side
    98,604.75x = 46,598,993,424
  5. Step 5: Solve for x
    x = 46,598,993,424/98,604.75
  6. Step 6: Final answer
    x = 472,583.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.