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Finding the Third Proportional to 51,836,822.50 and 111,366,366.50

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Solution

The third proportional to 51,836,822.50 and 111,366,366.50 is: 239,259,796.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,836,822.50 : 111,366,366.50 = 111,366,366.50 : x
  2. Step 2: Convert to fraction form
    51,836,822.50/111,366,366.50 = 111,366,366.50/x
  3. Step 3: Cross multiply
    51,836,822.50x = 111,366,366.50 × 111,366,366.50
  4. Step 4: Simplify right side
    51,836,822.50x = 12,402,467,587,412,322
  5. Step 5: Solve for x
    x = 12,402,467,587,412,322/51,836,822.50
  6. Step 6: Final answer
    x = 239,259,796.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.