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Finding the Third Proportional to 203,728,794.75 and 441,909,877.50

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Solution

The third proportional to 203,728,794.75 and 441,909,877.50 is: 958,550,508.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,728,794.75 : 441,909,877.50 = 441,909,877.50 : x
  2. Step 2: Convert to fraction form
    203,728,794.75/441,909,877.50 = 441,909,877.50/x
  3. Step 3: Cross multiply
    203,728,794.75x = 441,909,877.50 × 441,909,877.50
  4. Step 4: Simplify right side
    203,728,794.75x = 195,284,339,832,064,992
  5. Step 5: Solve for x
    x = 195,284,339,832,064,992/203,728,794.75
  6. Step 6: Final answer
    x = 958,550,508.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.