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Finding the Third Proportional to 49,734,659,011.50 and 108,183,356,100

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Solution

The third proportional to 49,734,659,011.50 and 108,183,356,100 is: 235,321,579,954.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,734,659,011.50 : 108,183,356,100 = 108,183,356,100 : x
  2. Step 2: Convert to fraction form
    49,734,659,011.50/108,183,356,100 = 108,183,356,100/x
  3. Step 3: Cross multiply
    49,734,659,011.50x = 108,183,356,100 × 108,183,356,100
  4. Step 4: Simplify right side
    49,734,659,011.50x = 11,703,638,537,059,407,233,024
  5. Step 5: Solve for x
    x = 11,703,638,537,059,407,233,024/49,734,659,011.50
  6. Step 6: Final answer
    x = 235,321,579,954.00

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.