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Finding the Third Proportional to 201,744.75 and 436,888.88

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Solution

The third proportional to 201,744.75 and 436,888.88 is: 946,105.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,744.75 : 436,888.88 = 436,888.88 : x
  2. Step 2: Convert to fraction form
    201,744.75/436,888.88 = 436,888.88/x
  3. Step 3: Cross multiply
    201,744.75x = 436,888.88 × 436,888.88
  4. Step 4: Simplify right side
    201,744.75x = 190,871,889,098.77
  5. Step 5: Solve for x
    x = 190,871,889,098.77/201,744.75
  6. Step 6: Final answer
    x = 946,105.85

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.