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Finding the Third Proportional to 111,333,512 and 230,304,012

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Solution

The third proportional to 111,333,512 and 230,304,012 is: 476,405,863.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,333,512 : 230,304,012 = 230,304,012 : x
  2. Step 2: Convert to fraction form
    111,333,512/230,304,012 = 230,304,012/x
  3. Step 3: Cross multiply
    111,333,512x = 230,304,012 × 230,304,012
  4. Step 4: Simplify right side
    111,333,512x = 53,039,937,943,296,144
  5. Step 5: Solve for x
    x = 53,039,937,943,296,144/111,333,512
  6. Step 6: Final answer
    x = 476,405,863.70

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.