Home / 205,429,040.25-418,032,510.75

Finding the Third Proportional to 205,429,040.25 and 418,032,510.75

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Solution

The third proportional to 205,429,040.25 and 418,032,510.75 is: 850,664,442.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,429,040.25 : 418,032,510.75 = 418,032,510.75 : x
  2. Step 2: Convert to fraction form
    205,429,040.25/418,032,510.75 = 418,032,510.75/x
  3. Step 3: Cross multiply
    205,429,040.25x = 418,032,510.75 × 418,032,510.75
  4. Step 4: Simplify right side
    205,429,040.25x = 174,751,180,043,948,864
  5. Step 5: Solve for x
    x = 174,751,180,043,948,864/205,429,040.25
  6. Step 6: Final answer
    x = 850,664,442.73

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.