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Finding the Third Proportional to 83,318.63 and 183,313.13

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Solution

The third proportional to 83,318.63 and 183,313.13 is: 403,315.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,318.63 : 183,313.13 = 183,313.13 : x
  2. Step 2: Convert to fraction form
    83,318.63/183,313.13 = 183,313.13/x
  3. Step 3: Cross multiply
    83,318.63x = 183,313.13 × 183,313.13
  4. Step 4: Simplify right side
    83,318.63x = 33,603,701,797.27
  5. Step 5: Solve for x
    x = 33,603,701,797.27/83,318.63
  6. Step 6: Final answer
    x = 403,315.61

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.