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Finding the Third Proportional to 158,245,912,991.72 and 213,510,891,902.15

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Solution

The third proportional to 158,245,912,991.72 and 213,510,891,902.15 is: 288,076,324,367.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,245,912,991.72 : 213,510,891,902.15 = 213,510,891,902.15 : x
  2. Step 2: Convert to fraction form
    158,245,912,991.72/213,510,891,902.15 = 213,510,891,902.15/x
  3. Step 3: Cross multiply
    158,245,912,991.72x = 213,510,891,902.15 × 213,510,891,902.15
  4. Step 4: Simplify right side
    158,245,912,991.72x = 45,586,900,960,851,580,157,952
  5. Step 5: Solve for x
    x = 45,586,900,960,851,580,157,952/158,245,912,991.72
  6. Step 6: Final answer
    x = 288,076,324,367.61

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.