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Finding the Third Proportional to 116,324,976 and 244,683,744

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Solution

The third proportional to 116,324,976 and 244,683,744 is: 514,679,965.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,324,976 : 244,683,744 = 244,683,744 : x
  2. Step 2: Convert to fraction form
    116,324,976/244,683,744 = 244,683,744/x
  3. Step 3: Cross multiply
    116,324,976x = 244,683,744 × 244,683,744
  4. Step 4: Simplify right side
    116,324,976x = 59,870,134,577,857,536
  5. Step 5: Solve for x
    x = 59,870,134,577,857,536/116,324,976
  6. Step 6: Final answer
    x = 514,679,965.01

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.