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Finding the Third Proportional to 177,319,304,153 and 264,816,998,423

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Solution

The third proportional to 177,319,304,153 and 264,816,998,423 is: 395,490,175,132.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,319,304,153 : 264,816,998,423 = 264,816,998,423 : x
  2. Step 2: Convert to fraction form
    177,319,304,153/264,816,998,423 = 264,816,998,423/x
  3. Step 3: Cross multiply
    177,319,304,153x = 264,816,998,423 × 264,816,998,423
  4. Step 4: Simplify right side
    177,319,304,153x = 70,128,042,653,767,182,581,760
  5. Step 5: Solve for x
    x = 70,128,042,653,767,182,581,760/177,319,304,153
  6. Step 6: Final answer
    x = 395,490,175,132.07

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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.