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Finding the Third Proportional to 52,900,857 and 114,629,661

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Solution

The third proportional to 52,900,857 and 114,629,661 is: 248,388,399.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,900,857 : 114,629,661 = 114,629,661 : x
  2. Step 2: Convert to fraction form
    52,900,857/114,629,661 = 114,629,661/x
  3. Step 3: Cross multiply
    52,900,857x = 114,629,661 × 114,629,661
  4. Step 4: Simplify right side
    52,900,857x = 13,139,959,180,974,920
  5. Step 5: Solve for x
    x = 13,139,959,180,974,920/52,900,857
  6. Step 6: Final answer
    x = 248,388,399.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.