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Finding the Third Proportional to 71,061,224,990.20 and 158,010,725,658.24

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Solution

The third proportional to 71,061,224,990.20 and 158,010,725,658.24 is: 351,350,394,346.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,061,224,990.20 : 158,010,725,658.24 = 158,010,725,658.24 : x
  2. Step 2: Convert to fraction form
    71,061,224,990.20/158,010,725,658.24 = 158,010,725,658.24/x
  3. Step 3: Cross multiply
    71,061,224,990.20x = 158,010,725,658.24 × 158,010,725,658.24
  4. Step 4: Simplify right side
    71,061,224,990.20x = 24,967,389,423,043,581,313,024
  5. Step 5: Solve for x
    x = 24,967,389,423,043,581,313,024/71,061,224,990.20
  6. Step 6: Final answer
    x = 351,350,394,346.37

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.