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Finding the Third Proportional to 51,463,748.25 and 105,667,119

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Solution

The third proportional to 51,463,748.25 and 105,667,119 is: 216,959,324.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,463,748.25 : 105,667,119 = 105,667,119 : x
  2. Step 2: Convert to fraction form
    51,463,748.25/105,667,119 = 105,667,119/x
  3. Step 3: Cross multiply
    51,463,748.25x = 105,667,119 × 105,667,119
  4. Step 4: Simplify right side
    51,463,748.25x = 11,165,540,037,760,160
  5. Step 5: Solve for x
    x = 11,165,540,037,760,160/51,463,748.25
  6. Step 6: Final answer
    x = 216,959,324.13

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.