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Finding the Third Proportional to 107,935.50 and 229,024.50

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Solution

The third proportional to 107,935.50 and 229,024.50 is: 485,958.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,935.50 : 229,024.50 = 229,024.50 : x
  2. Step 2: Convert to fraction form
    107,935.50/229,024.50 = 229,024.50/x
  3. Step 3: Cross multiply
    107,935.50x = 229,024.50 × 229,024.50
  4. Step 4: Simplify right side
    107,935.50x = 52,452,221,600.25
  5. Step 5: Solve for x
    x = 52,452,221,600.25/107,935.50
  6. Step 6: Final answer
    x = 485,958.94

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.