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Finding the Third Proportional to 136,131,777 and 205,817,941.50

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Solution

The third proportional to 136,131,777 and 205,817,941.50 is: 311,176,611.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,131,777 : 205,817,941.50 = 205,817,941.50 : x
  2. Step 2: Convert to fraction form
    136,131,777/205,817,941.50 = 205,817,941.50/x
  3. Step 3: Cross multiply
    136,131,777x = 205,817,941.50 × 205,817,941.50
  4. Step 4: Simplify right side
    136,131,777x = 42,361,025,043,297,424
  5. Step 5: Solve for x
    x = 42,361,025,043,297,424/136,131,777
  6. Step 6: Final answer
    x = 311,176,611.20

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.