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Finding the Third Proportional to 204,912,609.50 and 314,770,832.75

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Solution

The third proportional to 204,912,609.50 and 314,770,832.75 is: 483,526,501.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,912,609.50 : 314,770,832.75 = 314,770,832.75 : x
  2. Step 2: Convert to fraction form
    204,912,609.50/314,770,832.75 = 314,770,832.75/x
  3. Step 3: Cross multiply
    204,912,609.50x = 314,770,832.75 × 314,770,832.75
  4. Step 4: Simplify right side
    204,912,609.50x = 99,080,677,150,128,480
  5. Step 5: Solve for x
    x = 99,080,677,150,128,480/204,912,609.50
  6. Step 6: Final answer
    x = 483,526,501.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.