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Finding the Third Proportional to 94,770 and 203,821.31

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Solution

The third proportional to 94,770 and 203,821.31 is: 438,357.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,770 : 203,821.31 = 203,821.31 : x
  2. Step 2: Convert to fraction form
    94,770/203,821.31 = 203,821.31/x
  3. Step 3: Cross multiply
    94,770x = 203,821.31 × 203,821.31
  4. Step 4: Simplify right side
    94,770x = 41,543,127,429.22
  5. Step 5: Solve for x
    x = 41,543,127,429.22/94,770
  6. Step 6: Final answer
    x = 438,357.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.