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Finding the Third Proportional to 181,618,209 and 281,996,977.50

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Solution

The third proportional to 181,618,209 and 281,996,977.50 is: 437,854,198.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,618,209 : 281,996,977.50 = 281,996,977.50 : x
  2. Step 2: Convert to fraction form
    181,618,209/281,996,977.50 = 281,996,977.50/x
  3. Step 3: Cross multiply
    181,618,209x = 281,996,977.50 × 281,996,977.50
  4. Step 4: Simplify right side
    181,618,209x = 79,522,295,319,135,504
  5. Step 5: Solve for x
    x = 79,522,295,319,135,504/181,618,209
  6. Step 6: Final answer
    x = 437,854,198.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.