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Finding the Third Proportional to 132,288,493.50 and 205,664,397.19

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Solution

The third proportional to 132,288,493.50 and 205,664,397.19 is: 319,739,405.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,288,493.50 : 205,664,397.19 = 205,664,397.19 : x
  2. Step 2: Convert to fraction form
    132,288,493.50/205,664,397.19 = 205,664,397.19/x
  3. Step 3: Cross multiply
    132,288,493.50x = 205,664,397.19 × 205,664,397.19
  4. Step 4: Simplify right side
    132,288,493.50x = 42,297,844,270,497,760
  5. Step 5: Solve for x
    x = 42,297,844,270,497,760/132,288,493.50
  6. Step 6: Final answer
    x = 319,739,405.53

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.