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Finding the Third Proportional to 107,401.50 and 231,403.50

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Solution

The third proportional to 107,401.50 and 231,403.50 is: 498,573.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,401.50 : 231,403.50 = 231,403.50 : x
  2. Step 2: Convert to fraction form
    107,401.50/231,403.50 = 231,403.50/x
  3. Step 3: Cross multiply
    107,401.50x = 231,403.50 × 231,403.50
  4. Step 4: Simplify right side
    107,401.50x = 53,547,579,812.25
  5. Step 5: Solve for x
    x = 53,547,579,812.25/107,401.50
  6. Step 6: Final answer
    x = 498,573.85

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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.