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Finding the Third Proportional to 107,188 and 229,928

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Solution

The third proportional to 107,188 and 229,928 is: 493,216.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,188 : 229,928 = 229,928 : x
  2. Step 2: Convert to fraction form
    107,188/229,928 = 229,928/x
  3. Step 3: Cross multiply
    107,188x = 229,928 × 229,928
  4. Step 4: Simplify right side
    107,188x = 52,866,885,184
  5. Step 5: Solve for x
    x = 52,866,885,184/107,188
  6. Step 6: Final answer
    x = 493,216.45

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.