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Finding the Third Proportional to 82,963,777.50 and 119,512,116

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Solution

The third proportional to 82,963,777.50 and 119,512,116 is: 172,161,228.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,963,777.50 : 119,512,116 = 119,512,116 : x
  2. Step 2: Convert to fraction form
    82,963,777.50/119,512,116 = 119,512,116/x
  3. Step 3: Cross multiply
    82,963,777.50x = 119,512,116 × 119,512,116
  4. Step 4: Simplify right side
    82,963,777.50x = 14,283,145,870,797,456
  5. Step 5: Solve for x
    x = 14,283,145,870,797,456/82,963,777.50
  6. Step 6: Final answer
    x = 172,161,228.69

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.