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Finding the Third Proportional to 51,446,056.50 and 110,351,983.50

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Solution

The third proportional to 51,446,056.50 and 110,351,983.50 is: 236,705,417.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,446,056.50 : 110,351,983.50 = 110,351,983.50 : x
  2. Step 2: Convert to fraction form
    51,446,056.50/110,351,983.50 = 110,351,983.50/x
  3. Step 3: Cross multiply
    51,446,056.50x = 110,351,983.50 × 110,351,983.50
  4. Step 4: Simplify right side
    51,446,056.50x = 12,177,560,262,384,272
  5. Step 5: Solve for x
    x = 12,177,560,262,384,272/51,446,056.50
  6. Step 6: Final answer
    x = 236,705,417.11

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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.