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Finding the Third Proportional to 114,979,713,756 and 250,205,929,878

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Solution

The third proportional to 114,979,713,756 and 250,205,929,878 is: 544,470,022,589.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,979,713,756 : 250,205,929,878 = 250,205,929,878 : x
  2. Step 2: Convert to fraction form
    114,979,713,756/250,205,929,878 = 250,205,929,878/x
  3. Step 3: Cross multiply
    114,979,713,756x = 250,205,929,878 × 250,205,929,878
  4. Step 4: Simplify right side
    114,979,713,756x = 62,603,007,346,114,650,177,536
  5. Step 5: Solve for x
    x = 62,603,007,346,114,650,177,536/114,979,713,756
  6. Step 6: Final answer
    x = 544,470,022,589.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.