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Finding the Third Proportional to 195,345,189 and 406,766,458.13

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Solution

The third proportional to 195,345,189 and 406,766,458.13 is: 847,008,069.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,345,189 : 406,766,458.13 = 406,766,458.13 : x
  2. Step 2: Convert to fraction form
    195,345,189/406,766,458.13 = 406,766,458.13/x
  3. Step 3: Cross multiply
    195,345,189x = 406,766,458.13 × 406,766,458.13
  4. Step 4: Simplify right side
    195,345,189x = 165,458,951,455,557,376
  5. Step 5: Solve for x
    x = 165,458,951,455,557,376/195,345,189
  6. Step 6: Final answer
    x = 847,008,069.68

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.