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Finding the Third Proportional to 114,848,769 and 176,530,791

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Solution

The third proportional to 114,848,769 and 176,530,791 is: 271,340,480.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,848,769 : 176,530,791 = 176,530,791 : x
  2. Step 2: Convert to fraction form
    114,848,769/176,530,791 = 176,530,791/x
  3. Step 3: Cross multiply
    114,848,769x = 176,530,791 × 176,530,791
  4. Step 4: Simplify right side
    114,848,769x = 31,163,120,171,085,680
  5. Step 5: Solve for x
    x = 31,163,120,171,085,680/114,848,769
  6. Step 6: Final answer
    x = 271,340,480.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.