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Finding the Third Proportional to 140,061.97 and 300,097.41

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Solution

The third proportional to 140,061.97 and 300,097.41 is: 642,990.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,061.97 : 300,097.41 = 300,097.41 : x
  2. Step 2: Convert to fraction form
    140,061.97/300,097.41 = 300,097.41/x
  3. Step 3: Cross multiply
    140,061.97x = 300,097.41 × 300,097.41
  4. Step 4: Simplify right side
    140,061.97x = 90,058,453,237.98
  5. Step 5: Solve for x
    x = 90,058,453,237.98/140,061.97
  6. Step 6: Final answer
    x = 642,990.04

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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.