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Finding the Third Proportional to 114,848,356 and 176,530,228

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Solution

The third proportional to 114,848,356 and 176,530,228 is: 271,339,725.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,848,356 : 176,530,228 = 176,530,228 : x
  2. Step 2: Convert to fraction form
    114,848,356/176,530,228 = 176,530,228/x
  3. Step 3: Cross multiply
    114,848,356x = 176,530,228 × 176,530,228
  4. Step 4: Simplify right side
    114,848,356x = 31,162,921,397,731,984
  5. Step 5: Solve for x
    x = 31,162,921,397,731,984/114,848,356
  6. Step 6: Final answer
    x = 271,339,725.56

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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.