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Finding the Third Proportional to 53,467,759.50 and 114,609,225

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Solution

The third proportional to 53,467,759.50 and 114,609,225 is: 245,667,194.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,467,759.50 : 114,609,225 = 114,609,225 : x
  2. Step 2: Convert to fraction form
    53,467,759.50/114,609,225 = 114,609,225/x
  3. Step 3: Cross multiply
    53,467,759.50x = 114,609,225 × 114,609,225
  4. Step 4: Simplify right side
    53,467,759.50x = 13,135,274,455,100,624
  5. Step 5: Solve for x
    x = 13,135,274,455,100,624/53,467,759.50
  6. Step 6: Final answer
    x = 245,667,194.17

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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.