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Finding the Third Proportional to 83,549.63 and 180,416.25

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Solution

The third proportional to 83,549.63 and 180,416.25 is: 389,589.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,549.63 : 180,416.25 = 180,416.25 : x
  2. Step 2: Convert to fraction form
    83,549.63/180,416.25 = 180,416.25/x
  3. Step 3: Cross multiply
    83,549.63x = 180,416.25 × 180,416.25
  4. Step 4: Simplify right side
    83,549.63x = 32,550,023,264.06
  5. Step 5: Solve for x
    x = 32,550,023,264.06/83,549.63
  6. Step 6: Final answer
    x = 389,589.10

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.