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Finding the Third Proportional to 82,006,405.50 and 180,728,325

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Solution

The third proportional to 82,006,405.50 and 180,728,325 is: 398,294,831.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,006,405.50 : 180,728,325 = 180,728,325 : x
  2. Step 2: Convert to fraction form
    82,006,405.50/180,728,325 = 180,728,325/x
  3. Step 3: Cross multiply
    82,006,405.50x = 180,728,325 × 180,728,325
  4. Step 4: Simplify right side
    82,006,405.50x = 32,662,727,457,305,624
  5. Step 5: Solve for x
    x = 32,662,727,457,305,624/82,006,405.50
  6. Step 6: Final answer
    x = 398,294,831.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.