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Finding the Third Proportional to 177,319,304,161 and 264,816,998,435

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Solution

The third proportional to 177,319,304,161 and 264,816,998,435 is: 395,490,175,150.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,319,304,161 : 264,816,998,435 = 264,816,998,435 : x
  2. Step 2: Convert to fraction form
    177,319,304,161/264,816,998,435 = 264,816,998,435/x
  3. Step 3: Cross multiply
    177,319,304,161x = 264,816,998,435 × 264,816,998,435
  4. Step 4: Simplify right side
    177,319,304,161x = 70,128,042,660,122,794,655,744
  5. Step 5: Solve for x
    x = 70,128,042,660,122,794,655,744/177,319,304,161
  6. Step 6: Final answer
    x = 395,490,175,150.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.