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Finding the Third Proportional to 33,323.06 and 71,220.94

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Solution

The third proportional to 33,323.06 and 71,220.94 is: 152,219.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,323.06 : 71,220.94 = 71,220.94 : x
  2. Step 2: Convert to fraction form
    33,323.06/71,220.94 = 71,220.94/x
  3. Step 3: Cross multiply
    33,323.06x = 71,220.94 × 71,220.94
  4. Step 4: Simplify right side
    33,323.06x = 5,072,421,938.38
  5. Step 5: Solve for x
    x = 5,072,421,938.38/33,323.06
  6. Step 6: Final answer
    x = 152,219.56

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