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Finding the Third Proportional to 201,651.33 and 438,864.33

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Solution

The third proportional to 201,651.33 and 438,864.33 is: 955,123.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,651.33 : 438,864.33 = 438,864.33 : x
  2. Step 2: Convert to fraction form
    201,651.33/438,864.33 = 438,864.33/x
  3. Step 3: Cross multiply
    201,651.33x = 438,864.33 × 438,864.33
  4. Step 4: Simplify right side
    201,651.33x = 192,601,898,500.61
  5. Step 5: Solve for x
    x = 192,601,898,500.61/201,651.33
  6. Step 6: Final answer
    x = 955,123.38

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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.