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Finding the Third Proportional to 82,642,868 and 180,166,096

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Solution

The third proportional to 82,642,868 and 180,166,096 is: 392,772,212.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,642,868 : 180,166,096 = 180,166,096 : x
  2. Step 2: Convert to fraction form
    82,642,868/180,166,096 = 180,166,096/x
  3. Step 3: Cross multiply
    82,642,868x = 180,166,096 × 180,166,096
  4. Step 4: Simplify right side
    82,642,868x = 32,459,822,147,881,216
  5. Step 5: Solve for x
    x = 32,459,822,147,881,216/82,642,868
  6. Step 6: Final answer
    x = 392,772,212.94

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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.