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Finding the Third Proportional to 49,903,497 and 109,213,821

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Solution

The third proportional to 49,903,497 and 109,213,821 is: 239,014,486.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,903,497 : 109,213,821 = 109,213,821 : x
  2. Step 2: Convert to fraction form
    49,903,497/109,213,821 = 109,213,821/x
  3. Step 3: Cross multiply
    49,903,497x = 109,213,821 × 109,213,821
  4. Step 4: Simplify right side
    49,903,497x = 11,927,658,697,420,040
  5. Step 5: Solve for x
    x = 11,927,658,697,420,040/49,903,497
  6. Step 6: Final answer
    x = 239,014,486.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.