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Finding the Third Proportional to 105,555,096 and 219,846,852

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Solution

The third proportional to 105,555,096 and 219,846,852 is: 457,890,146.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,555,096 : 219,846,852 = 219,846,852 : x
  2. Step 2: Convert to fraction form
    105,555,096/219,846,852 = 219,846,852/x
  3. Step 3: Cross multiply
    105,555,096x = 219,846,852 × 219,846,852
  4. Step 4: Simplify right side
    105,555,096x = 48,332,638,334,309,904
  5. Step 5: Solve for x
    x = 48,332,638,334,309,904/105,555,096
  6. Step 6: Final answer
    x = 457,890,146.15

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.