Home / 82,247,784.75-180,639,016.31

Finding the Third Proportional to 82,247,784.75 and 180,639,016.31

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Solution

The third proportional to 82,247,784.75 and 180,639,016.31 is: 396,733,532.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,247,784.75 : 180,639,016.31 = 180,639,016.31 : x
  2. Step 2: Convert to fraction form
    82,247,784.75/180,639,016.31 = 180,639,016.31/x
  3. Step 3: Cross multiply
    82,247,784.75x = 180,639,016.31 × 180,639,016.31
  4. Step 4: Simplify right side
    82,247,784.75x = 32,630,454,214,347,640
  5. Step 5: Solve for x
    x = 32,630,454,214,347,640/82,247,784.75
  6. Step 6: Final answer
    x = 396,733,532.87

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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.