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Finding the Third Proportional to 252,219,664.50 and 355,026,091.75

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Solution

The third proportional to 252,219,664.50 and 355,026,091.75 is: 499,737,108.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,219,664.50 : 355,026,091.75 = 355,026,091.75 : x
  2. Step 2: Convert to fraction form
    252,219,664.50/355,026,091.75 = 355,026,091.75/x
  3. Step 3: Cross multiply
    252,219,664.50x = 355,026,091.75 × 355,026,091.75
  4. Step 4: Simplify right side
    252,219,664.50x = 126,043,525,823,279,424
  5. Step 5: Solve for x
    x = 126,043,525,823,279,424/252,219,664.50
  6. Step 6: Final answer
    x = 499,737,108.42

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.