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Finding the Third Proportional to 82,982,273.06 and 180,982,401.56

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Solution

The third proportional to 82,982,273.06 and 180,982,401.56 is: 394,718,395.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,982,273.06 : 180,982,401.56 = 180,982,401.56 : x
  2. Step 2: Convert to fraction form
    82,982,273.06/180,982,401.56 = 180,982,401.56/x
  3. Step 3: Cross multiply
    82,982,273.06x = 180,982,401.56 × 180,982,401.56
  4. Step 4: Simplify right side
    82,982,273.06x = 32,754,629,675,330,004
  5. Step 5: Solve for x
    x = 32,754,629,675,330,004/82,982,273.06
  6. Step 6: Final answer
    x = 394,718,395.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.