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Finding the Third Proportional to 82,882,076.50 and 180,468,204.50

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Solution

The third proportional to 82,882,076.50 and 180,468,204.50 is: 392,953,147.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,882,076.50 : 180,468,204.50 = 180,468,204.50 : x
  2. Step 2: Convert to fraction form
    82,882,076.50/180,468,204.50 = 180,468,204.50/x
  3. Step 3: Cross multiply
    82,882,076.50x = 180,468,204.50 × 180,468,204.50
  4. Step 4: Simplify right side
    82,882,076.50x = 32,568,772,835,453,820
  5. Step 5: Solve for x
    x = 32,568,772,835,453,820/82,882,076.50
  6. Step 6: Final answer
    x = 392,953,147.54

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