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Finding the Third Proportional to 67,083,040.50 and 144,936,966

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Solution

The third proportional to 67,083,040.50 and 144,936,966 is: 313,145,080.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,083,040.50 : 144,936,966 = 144,936,966 : x
  2. Step 2: Convert to fraction form
    67,083,040.50/144,936,966 = 144,936,966/x
  3. Step 3: Cross multiply
    67,083,040.50x = 144,936,966 × 144,936,966
  4. Step 4: Simplify right side
    67,083,040.50x = 21,006,724,113,285,156
  5. Step 5: Solve for x
    x = 21,006,724,113,285,156/67,083,040.50
  6. Step 6: Final answer
    x = 313,145,080.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.