Home / 96,038,947.69-206,643,968.44

Finding the Third Proportional to 96,038,947.69 and 206,643,968.44

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Solution

The third proportional to 96,038,947.69 and 206,643,968.44 is: 444,629,295.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,038,947.69 : 206,643,968.44 = 206,643,968.44 : x
  2. Step 2: Convert to fraction form
    96,038,947.69/206,643,968.44 = 206,643,968.44/x
  3. Step 3: Cross multiply
    96,038,947.69x = 206,643,968.44 × 206,643,968.44
  4. Step 4: Simplify right side
    96,038,947.69x = 42,701,729,691,598,496
  5. Step 5: Solve for x
    x = 42,701,729,691,598,496/96,038,947.69
  6. Step 6: Final answer
    x = 444,629,295.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.