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Finding the Third Proportional to 101,805.75 and 206,347.50

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Solution

The third proportional to 101,805.75 and 206,347.50 is: 418,240.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,805.75 : 206,347.50 = 206,347.50 : x
  2. Step 2: Convert to fraction form
    101,805.75/206,347.50 = 206,347.50/x
  3. Step 3: Cross multiply
    101,805.75x = 206,347.50 × 206,347.50
  4. Step 4: Simplify right side
    101,805.75x = 42,579,290,756.25
  5. Step 5: Solve for x
    x = 42,579,290,756.25/101,805.75
  6. Step 6: Final answer
    x = 418,240.53

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.