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Finding the Third Proportional to 106,808.06 and 230,503.31

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Solution

The third proportional to 106,808.06 and 230,503.31 is: 497,451.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,808.06 : 230,503.31 = 230,503.31 : x
  2. Step 2: Convert to fraction form
    106,808.06/230,503.31 = 230,503.31/x
  3. Step 3: Cross multiply
    106,808.06x = 230,503.31 × 230,503.31
  4. Step 4: Simplify right side
    106,808.06x = 53,131,777,073.47
  5. Step 5: Solve for x
    x = 53,131,777,073.47/106,808.06
  6. Step 6: Final answer
    x = 497,451.00

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.