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Finding the Third Proportional to 121,002,756 and 265,516,296

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Solution

The third proportional to 121,002,756 and 265,516,296 is: 582,622,295.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,002,756 : 265,516,296 = 265,516,296 : x
  2. Step 2: Convert to fraction form
    121,002,756/265,516,296 = 265,516,296/x
  3. Step 3: Cross multiply
    121,002,756x = 265,516,296 × 265,516,296
  4. Step 4: Simplify right side
    121,002,756x = 70,498,903,441,559,616
  5. Step 5: Solve for x
    x = 70,498,903,441,559,616/121,002,756
  6. Step 6: Final answer
    x = 582,622,295.33

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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.