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Finding the Third Proportional to 177,319,304,165 and 264,816,998,440.50

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Solution

The third proportional to 177,319,304,165 and 264,816,998,440.50 is: 395,490,175,157.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,319,304,165 : 264,816,998,440.50 = 264,816,998,440.50 : x
  2. Step 2: Convert to fraction form
    177,319,304,165/264,816,998,440.50 = 264,816,998,440.50/x
  3. Step 3: Cross multiply
    177,319,304,165x = 264,816,998,440.50 × 264,816,998,440.50
  4. Step 4: Simplify right side
    177,319,304,165x = 70,128,042,663,035,780,726,784
  5. Step 5: Solve for x
    x = 70,128,042,663,035,780,726,784/177,319,304,165
  6. Step 6: Final answer
    x = 395,490,175,157.58

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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.