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Finding the Third Proportional to 50,652,096 and 103,092,780

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Solution

The third proportional to 50,652,096 and 103,092,780 is: 209,825,893.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,652,096 : 103,092,780 = 103,092,780 : x
  2. Step 2: Convert to fraction form
    50,652,096/103,092,780 = 103,092,780/x
  3. Step 3: Cross multiply
    50,652,096x = 103,092,780 × 103,092,780
  4. Step 4: Simplify right side
    50,652,096x = 10,628,121,288,128,400
  5. Step 5: Solve for x
    x = 10,628,121,288,128,400/50,652,096
  6. Step 6: Final answer
    x = 209,825,893.25

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.