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Finding the Third Proportional to 201,112.88 and 320,122.13

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Solution

The third proportional to 201,112.88 and 320,122.13 is: 509,555.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,112.88 : 320,122.13 = 320,122.13 : x
  2. Step 2: Convert to fraction form
    201,112.88/320,122.13 = 320,122.13/x
  3. Step 3: Cross multiply
    201,112.88x = 320,122.13 × 320,122.13
  4. Step 4: Simplify right side
    201,112.88x = 102,478,174,914.52
  5. Step 5: Solve for x
    x = 102,478,174,914.52/201,112.88
  6. Step 6: Final answer
    x = 509,555.52

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.