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Finding the Third Proportional to 95,864,149.50 and 209,664,489

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Solution

The third proportional to 95,864,149.50 and 209,664,489 is: 458,557,220.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,864,149.50 : 209,664,489 = 209,664,489 : x
  2. Step 2: Convert to fraction form
    95,864,149.50/209,664,489 = 209,664,489/x
  3. Step 3: Cross multiply
    95,864,149.50x = 209,664,489 × 209,664,489
  4. Step 4: Simplify right side
    95,864,149.50x = 43,959,197,947,631,120
  5. Step 5: Solve for x
    x = 43,959,197,947,631,120/95,864,149.50
  6. Step 6: Final answer
    x = 458,557,220.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.