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Finding the Third Proportional to 83,416.88 and 183,435.75

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Solution

The third proportional to 83,416.88 and 183,435.75 is: 403,379.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,416.88 : 183,435.75 = 183,435.75 : x
  2. Step 2: Convert to fraction form
    83,416.88/183,435.75 = 183,435.75/x
  3. Step 3: Cross multiply
    83,416.88x = 183,435.75 × 183,435.75
  4. Step 4: Simplify right side
    83,416.88x = 33,648,674,378.06
  5. Step 5: Solve for x
    x = 33,648,674,378.06/83,416.88
  6. Step 6: Final answer
    x = 403,379.70

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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.