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Finding the Third Proportional to 107,712.50 and 230,085.50

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Solution

The third proportional to 107,712.50 and 230,085.50 is: 491,487.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,712.50 : 230,085.50 = 230,085.50 : x
  2. Step 2: Convert to fraction form
    107,712.50/230,085.50 = 230,085.50/x
  3. Step 3: Cross multiply
    107,712.50x = 230,085.50 × 230,085.50
  4. Step 4: Simplify right side
    107,712.50x = 52,939,337,310.25
  5. Step 5: Solve for x
    x = 52,939,337,310.25/107,712.50
  6. Step 6: Final answer
    x = 491,487.41

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.