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Finding the Third Proportional to 109,421.81 and 238,015.31

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Solution

The third proportional to 109,421.81 and 238,015.31 is: 517,733.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,421.81 : 238,015.31 = 238,015.31 : x
  2. Step 2: Convert to fraction form
    109,421.81/238,015.31 = 238,015.31/x
  3. Step 3: Cross multiply
    109,421.81x = 238,015.31 × 238,015.31
  4. Step 4: Simplify right side
    109,421.81x = 56,651,288,984.47
  5. Step 5: Solve for x
    x = 56,651,288,984.47/109,421.81
  6. Step 6: Final answer
    x = 517,733.05

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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.