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Finding the Third Proportional to 68,921,010 and 106,704,891

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Solution

The third proportional to 68,921,010 and 106,704,891 is: 165,202,653.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,921,010 : 106,704,891 = 106,704,891 : x
  2. Step 2: Convert to fraction form
    68,921,010/106,704,891 = 106,704,891/x
  3. Step 3: Cross multiply
    68,921,010x = 106,704,891 × 106,704,891
  4. Step 4: Simplify right side
    68,921,010x = 11,385,933,763,321,880
  5. Step 5: Solve for x
    x = 11,385,933,763,321,880/68,921,010
  6. Step 6: Final answer
    x = 165,202,653.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.