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Finding the Third Proportional to 83,409.75 and 183,421.50

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Solution

The third proportional to 83,409.75 and 183,421.50 is: 403,351.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,409.75 : 183,421.50 = 183,421.50 : x
  2. Step 2: Convert to fraction form
    83,409.75/183,421.50 = 183,421.50/x
  3. Step 3: Cross multiply
    83,409.75x = 183,421.50 × 183,421.50
  4. Step 4: Simplify right side
    83,409.75x = 33,643,446,662.25
  5. Step 5: Solve for x
    x = 33,643,446,662.25/83,409.75
  6. Step 6: Final answer
    x = 403,351.49

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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.