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Finding the Third Proportional to 114,848,766 and 176,530,785.75

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Solution

The third proportional to 114,848,766 and 176,530,785.75 is: 271,340,471.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,848,766 : 176,530,785.75 = 176,530,785.75 : x
  2. Step 2: Convert to fraction form
    114,848,766/176,530,785.75 = 176,530,785.75/x
  3. Step 3: Cross multiply
    114,848,766x = 176,530,785.75 × 176,530,785.75
  4. Step 4: Simplify right side
    114,848,766x = 31,163,118,317,512,404
  5. Step 5: Solve for x
    x = 31,163,118,317,512,404/114,848,766
  6. Step 6: Final answer
    x = 271,340,471.50

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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.