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Finding the Third Proportional to 181,116,867 and 282,436,942.50

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Solution

The third proportional to 181,116,867 and 282,436,942.50 is: 440,437,314.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,116,867 : 282,436,942.50 = 282,436,942.50 : x
  2. Step 2: Convert to fraction form
    181,116,867/282,436,942.50 = 282,436,942.50/x
  3. Step 3: Cross multiply
    181,116,867x = 282,436,942.50 × 282,436,942.50
  4. Step 4: Simplify right side
    181,116,867x = 79,770,626,488,748,304
  5. Step 5: Solve for x
    x = 79,770,626,488,748,304/181,116,867
  6. Step 6: Final answer
    x = 440,437,314.37

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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.