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Finding the Third Proportional to 81,211,666 and 175,367,064

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Solution

The third proportional to 81,211,666 and 175,367,064 is: 378,684,598.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,211,666 : 175,367,064 = 175,367,064 : x
  2. Step 2: Convert to fraction form
    81,211,666/175,367,064 = 175,367,064/x
  3. Step 3: Cross multiply
    81,211,666x = 175,367,064 × 175,367,064
  4. Step 4: Simplify right side
    81,211,666x = 30,753,607,135,980,096
  5. Step 5: Solve for x
    x = 30,753,607,135,980,096/81,211,666
  6. Step 6: Final answer
    x = 378,684,598.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.