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Finding the Third Proportional to 177,319,304,160 and 264,816,998,433.50

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Solution

The third proportional to 177,319,304,160 and 264,816,998,433.50 is: 395,490,175,147.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,319,304,160 : 264,816,998,433.50 = 264,816,998,433.50 : x
  2. Step 2: Convert to fraction form
    177,319,304,160/264,816,998,433.50 = 264,816,998,433.50/x
  3. Step 3: Cross multiply
    177,319,304,160x = 264,816,998,433.50 × 264,816,998,433.50
  4. Step 4: Simplify right side
    177,319,304,160x = 70,128,042,659,328,343,146,496
  5. Step 5: Solve for x
    x = 70,128,042,659,328,343,146,496/177,319,304,160
  6. Step 6: Final answer
    x = 395,490,175,147.82

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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.