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Finding the Third Proportional to 177,319,304,154 and 264,816,998,424

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Solution

The third proportional to 177,319,304,154 and 264,816,998,424 is: 395,490,175,132.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,319,304,154 : 264,816,998,424 = 264,816,998,424 : x
  2. Step 2: Convert to fraction form
    177,319,304,154/264,816,998,424 = 264,816,998,424/x
  3. Step 3: Cross multiply
    177,319,304,154x = 264,816,998,424 × 264,816,998,424
  4. Step 4: Simplify right side
    177,319,304,154x = 70,128,042,654,296,822,513,664
  5. Step 5: Solve for x
    x = 70,128,042,654,296,822,513,664/177,319,304,154
  6. Step 6: Final answer
    x = 395,490,175,132.83

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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.