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Finding the Third Proportional to 84,720.94 and 180,700.88

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Solution

The third proportional to 84,720.94 and 180,700.88 is: 385,416.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,720.94 : 180,700.88 = 180,700.88 : x
  2. Step 2: Convert to fraction form
    84,720.94/180,700.88 = 180,700.88/x
  3. Step 3: Cross multiply
    84,720.94x = 180,700.88 × 180,700.88
  4. Step 4: Simplify right side
    84,720.94x = 32,652,806,225.77
  5. Step 5: Solve for x
    x = 32,652,806,225.77/84,720.94
  6. Step 6: Final answer
    x = 385,416.02

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.