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Finding the Third Proportional to 101,295.56 and 216,912.94

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Solution

The third proportional to 101,295.56 and 216,912.94 is: 464,494.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,295.56 : 216,912.94 = 216,912.94 : x
  2. Step 2: Convert to fraction form
    101,295.56/216,912.94 = 216,912.94/x
  3. Step 3: Cross multiply
    101,295.56x = 216,912.94 × 216,912.94
  4. Step 4: Simplify right side
    101,295.56x = 47,051,222,454.88
  5. Step 5: Solve for x
    x = 47,051,222,454.88/101,295.56
  6. Step 6: Final answer
    x = 464,494.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.