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Finding the Third Proportional to 195,703,873.50 and 273,751,978.50

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Solution

The third proportional to 195,703,873.50 and 273,751,978.50 is: 382,926,226.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,703,873.50 : 273,751,978.50 = 273,751,978.50 : x
  2. Step 2: Convert to fraction form
    195,703,873.50/273,751,978.50 = 273,751,978.50/x
  3. Step 3: Cross multiply
    195,703,873.50x = 273,751,978.50 × 273,751,978.50
  4. Step 4: Simplify right side
    195,703,873.50x = 74,940,145,732,664,464
  5. Step 5: Solve for x
    x = 74,940,145,732,664,464/195,703,873.50
  6. Step 6: Final answer
    x = 382,926,226.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.