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Finding the Third Proportional to 105,979.50 and 231,880.50

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Solution

The third proportional to 105,979.50 and 231,880.50 is: 507,348.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,979.50 : 231,880.50 = 231,880.50 : x
  2. Step 2: Convert to fraction form
    105,979.50/231,880.50 = 231,880.50/x
  3. Step 3: Cross multiply
    105,979.50x = 231,880.50 × 231,880.50
  4. Step 4: Simplify right side
    105,979.50x = 53,768,566,280.25
  5. Step 5: Solve for x
    x = 53,768,566,280.25/105,979.50
  6. Step 6: Final answer
    x = 507,348.74

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.