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Finding the Third Proportional to 108,919.69 and 235,046.81

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Solution

The third proportional to 108,919.69 and 235,046.81 is: 507,226.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,919.69 : 235,046.81 = 235,046.81 : x
  2. Step 2: Convert to fraction form
    108,919.69/235,046.81 = 235,046.81/x
  3. Step 3: Cross multiply
    108,919.69x = 235,046.81 × 235,046.81
  4. Step 4: Simplify right side
    108,919.69x = 55,247,004,066.41
  5. Step 5: Solve for x
    x = 55,247,004,066.41/108,919.69
  6. Step 6: Final answer
    x = 507,226.98

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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.