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Finding the Third Proportional to 101,751.75 and 217,012.50

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Solution

The third proportional to 101,751.75 and 217,012.50 is: 462,836.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,751.75 : 217,012.50 = 217,012.50 : x
  2. Step 2: Convert to fraction form
    101,751.75/217,012.50 = 217,012.50/x
  3. Step 3: Cross multiply
    101,751.75x = 217,012.50 × 217,012.50
  4. Step 4: Simplify right side
    101,751.75x = 47,094,425,156.25
  5. Step 5: Solve for x
    x = 47,094,425,156.25/101,751.75
  6. Step 6: Final answer
    x = 462,836.51

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.