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Finding the Third Proportional to 152,816,475 and 238,304,894

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Solution

The third proportional to 152,816,475 and 238,304,894 is: 371,617,147.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,816,475 : 238,304,894 = 238,304,894 : x
  2. Step 2: Convert to fraction form
    152,816,475/238,304,894 = 238,304,894/x
  3. Step 3: Cross multiply
    152,816,475x = 238,304,894 × 238,304,894
  4. Step 4: Simplify right side
    152,816,475x = 56,789,222,504,351,232
  5. Step 5: Solve for x
    x = 56,789,222,504,351,232/152,816,475
  6. Step 6: Final answer
    x = 371,617,147.33

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.