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Finding the Third Proportional to 53,043,228 and 115,947,176

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Solution

The third proportional to 53,043,228 and 115,947,176 is: 253,448,896.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,043,228 : 115,947,176 = 115,947,176 : x
  2. Step 2: Convert to fraction form
    53,043,228/115,947,176 = 115,947,176/x
  3. Step 3: Cross multiply
    53,043,228x = 115,947,176 × 115,947,176
  4. Step 4: Simplify right side
    53,043,228x = 13,443,747,622,374,976
  5. Step 5: Solve for x
    x = 13,443,747,622,374,976/53,043,228
  6. Step 6: Final answer
    x = 253,448,896.86

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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.