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Finding the Third Proportional to 158,311,458 and 242,175,177

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Solution

The third proportional to 158,311,458 and 242,175,177 is: 370,464,760.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,311,458 : 242,175,177 = 242,175,177 : x
  2. Step 2: Convert to fraction form
    158,311,458/242,175,177 = 242,175,177/x
  3. Step 3: Cross multiply
    158,311,458x = 242,175,177 × 242,175,177
  4. Step 4: Simplify right side
    158,311,458x = 58,648,816,354,981,328
  5. Step 5: Solve for x
    x = 58,648,816,354,981,328/158,311,458
  6. Step 6: Final answer
    x = 370,464,760.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.