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Finding the Third Proportional to 106,083 and 230,897.25

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Solution

The third proportional to 106,083 and 230,897.25 is: 502,564.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,083 : 230,897.25 = 230,897.25 : x
  2. Step 2: Convert to fraction form
    106,083/230,897.25 = 230,897.25/x
  3. Step 3: Cross multiply
    106,083x = 230,897.25 × 230,897.25
  4. Step 4: Simplify right side
    106,083x = 53,313,540,057.56
  5. Step 5: Solve for x
    x = 53,313,540,057.56/106,083
  6. Step 6: Final answer
    x = 502,564.41

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