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Finding the Third Proportional to 308,287,455.75 and 445,422,118.50

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Solution

The third proportional to 308,287,455.75 and 445,422,118.50 is: 643,558,016.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,287,455.75 : 445,422,118.50 = 445,422,118.50 : x
  2. Step 2: Convert to fraction form
    308,287,455.75/445,422,118.50 = 445,422,118.50/x
  3. Step 3: Cross multiply
    308,287,455.75x = 445,422,118.50 × 445,422,118.50
  4. Step 4: Simplify right side
    308,287,455.75x = 198,400,863,649,028,032
  5. Step 5: Solve for x
    x = 198,400,863,649,028,032/308,287,455.75
  6. Step 6: Final answer
    x = 643,558,016.87

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.