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Finding the Third Proportional to 114,848,775 and 176,530,799.25

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Solution

The third proportional to 114,848,775 and 176,530,799.25 is: 271,340,491.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,848,775 : 176,530,799.25 = 176,530,799.25 : x
  2. Step 2: Convert to fraction form
    114,848,775/176,530,799.25 = 176,530,799.25/x
  3. Step 3: Cross multiply
    114,848,775x = 176,530,799.25 × 176,530,799.25
  4. Step 4: Simplify right side
    114,848,775x = 31,163,123,083,843,800
  5. Step 5: Solve for x
    x = 31,163,123,083,843,800/114,848,775
  6. Step 6: Final answer
    x = 271,340,491.74

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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.