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Finding the Third Proportional to 43,243,968 and 94,014,912

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Solution

The third proportional to 43,243,968 and 94,014,912 is: 204,393,909.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,243,968 : 94,014,912 = 94,014,912 : x
  2. Step 2: Convert to fraction form
    43,243,968/94,014,912 = 94,014,912/x
  3. Step 3: Cross multiply
    43,243,968x = 94,014,912 × 94,014,912
  4. Step 4: Simplify right side
    43,243,968x = 8,838,803,678,367,744
  5. Step 5: Solve for x
    x = 8,838,803,678,367,744/43,243,968
  6. Step 6: Final answer
    x = 204,393,909.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.