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Finding the Third Proportional to 252,219,664 and 355,026,091

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Solution

The third proportional to 252,219,664 and 355,026,091 is: 499,737,107.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,219,664 : 355,026,091 = 355,026,091 : x
  2. Step 2: Convert to fraction form
    252,219,664/355,026,091 = 355,026,091/x
  3. Step 3: Cross multiply
    252,219,664x = 355,026,091 × 355,026,091
  4. Step 4: Simplify right side
    252,219,664x = 126,043,525,290,740,288
  5. Step 5: Solve for x
    x = 126,043,525,290,740,288/252,219,664
  6. Step 6: Final answer
    x = 499,737,107.30

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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.