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Finding the Third Proportional to 43,299,945 and 94,222,732.50

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Solution

The third proportional to 43,299,945 and 94,222,732.50 is: 205,033,131.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,299,945 : 94,222,732.50 = 94,222,732.50 : x
  2. Step 2: Convert to fraction form
    43,299,945/94,222,732.50 = 94,222,732.50/x
  3. Step 3: Cross multiply
    43,299,945x = 94,222,732.50 × 94,222,732.50
  4. Step 4: Simplify right side
    43,299,945x = 8,877,923,319,766,556
  5. Step 5: Solve for x
    x = 8,877,923,319,766,556/43,299,945
  6. Step 6: Final answer
    x = 205,033,131.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.