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Finding the Third Proportional to 82,308,900 and 126,309,222

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Solution

The third proportional to 82,308,900 and 126,309,222 is: 193,831,038.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,308,900 : 126,309,222 = 126,309,222 : x
  2. Step 2: Convert to fraction form
    82,308,900/126,309,222 = 126,309,222/x
  3. Step 3: Cross multiply
    82,308,900x = 126,309,222 × 126,309,222
  4. Step 4: Simplify right side
    82,308,900x = 15,954,019,562,245,284
  5. Step 5: Solve for x
    x = 15,954,019,562,245,284/82,308,900
  6. Step 6: Final answer
    x = 193,831,038.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.