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Finding the Third Proportional to 107,039.67 and 233,149.78

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Solution

The third proportional to 107,039.67 and 233,149.78 is: 507,838.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,039.67 : 233,149.78 = 233,149.78 : x
  2. Step 2: Convert to fraction form
    107,039.67/233,149.78 = 233,149.78/x
  3. Step 3: Cross multiply
    107,039.67x = 233,149.78 × 233,149.78
  4. Step 4: Simplify right side
    107,039.67x = 54,358,820,496.92
  5. Step 5: Solve for x
    x = 54,358,820,496.92/107,039.67
  6. Step 6: Final answer
    x = 507,838.07

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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.