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Finding the Third Proportional to 83,926.13 and 163,599.75

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Solution

The third proportional to 83,926.13 and 163,599.75 is: 318,909.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,926.13 : 163,599.75 = 163,599.75 : x
  2. Step 2: Convert to fraction form
    83,926.13/163,599.75 = 163,599.75/x
  3. Step 3: Cross multiply
    83,926.13x = 163,599.75 × 163,599.75
  4. Step 4: Simplify right side
    83,926.13x = 26,764,878,200.06
  5. Step 5: Solve for x
    x = 26,764,878,200.06/83,926.13
  6. Step 6: Final answer
    x = 318,909.97

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.