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Finding the Third Proportional to 51,051,845 and 109,279,804

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Solution

The third proportional to 51,051,845 and 109,279,804 is: 233,920,548.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,051,845 : 109,279,804 = 109,279,804 : x
  2. Step 2: Convert to fraction form
    51,051,845/109,279,804 = 109,279,804/x
  3. Step 3: Cross multiply
    51,051,845x = 109,279,804 × 109,279,804
  4. Step 4: Simplify right side
    51,051,845x = 11,942,075,562,278,416
  5. Step 5: Solve for x
    x = 11,942,075,562,278,416/51,051,845
  6. Step 6: Final answer
    x = 233,920,548.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.