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Finding the Third Proportional to 52,206,323 and 114,451,899

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Solution

The third proportional to 52,206,323 and 114,451,899 is: 250,912,847.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,206,323 : 114,451,899 = 114,451,899 : x
  2. Step 2: Convert to fraction form
    52,206,323/114,451,899 = 114,451,899/x
  3. Step 3: Cross multiply
    52,206,323x = 114,451,899 × 114,451,899
  4. Step 4: Simplify right side
    52,206,323x = 13,099,237,184,706,200
  5. Step 5: Solve for x
    x = 13,099,237,184,706,200/52,206,323
  6. Step 6: Final answer
    x = 250,912,847.95

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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.