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Finding the Third Proportional to 114,848,224 and 176,530,025

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Solution

The third proportional to 114,848,224 and 176,530,025 is: 271,339,413.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,848,224 : 176,530,025 = 176,530,025 : x
  2. Step 2: Convert to fraction form
    114,848,224/176,530,025 = 176,530,025/x
  3. Step 3: Cross multiply
    114,848,224x = 176,530,025 × 176,530,025
  4. Step 4: Simplify right side
    114,848,224x = 31,162,849,726,500,624
  5. Step 5: Solve for x
    x = 31,162,849,726,500,624/114,848,224
  6. Step 6: Final answer
    x = 271,339,413.37

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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.