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Finding the Third Proportional to 117,698,667.75 and 161,568,138

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Solution

The third proportional to 117,698,667.75 and 161,568,138 is: 221,788,943.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,698,667.75 : 161,568,138 = 161,568,138 : x
  2. Step 2: Convert to fraction form
    117,698,667.75/161,568,138 = 161,568,138/x
  3. Step 3: Cross multiply
    117,698,667.75x = 161,568,138 × 161,568,138
  4. Step 4: Simplify right side
    117,698,667.75x = 26,104,263,216,787,044
  5. Step 5: Solve for x
    x = 26,104,263,216,787,044/117,698,667.75
  6. Step 6: Final answer
    x = 221,788,943.88

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.