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Finding the Third Proportional to 51,102,094,105.50 and 111,202,633,731

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Solution

The third proportional to 51,102,094,105.50 and 111,202,633,731 is: 241,986,673,250.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,102,094,105.50 : 111,202,633,731 = 111,202,633,731 : x
  2. Step 2: Convert to fraction form
    51,102,094,105.50/111,202,633,731 = 111,202,633,731/x
  3. Step 3: Cross multiply
    51,102,094,105.50x = 111,202,633,731 × 111,202,633,731
  4. Step 4: Simplify right side
    51,102,094,105.50x = 12,366,025,748,710,938,378,240
  5. Step 5: Solve for x
    x = 12,366,025,748,710,938,378,240/51,102,094,105.50
  6. Step 6: Final answer
    x = 241,986,673,250.25

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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.