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Finding the Third Proportional to 104,082.26 and 216,345.94

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Solution

The third proportional to 104,082.26 and 216,345.94 is: 449,697.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,082.26 : 216,345.94 = 216,345.94 : x
  2. Step 2: Convert to fraction form
    104,082.26/216,345.94 = 216,345.94/x
  3. Step 3: Cross multiply
    104,082.26x = 216,345.94 × 216,345.94
  4. Step 4: Simplify right side
    104,082.26x = 46,805,564,672.75
  5. Step 5: Solve for x
    x = 46,805,564,672.75/104,082.26
  6. Step 6: Final answer
    x = 449,697.82

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.