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Finding the Third Proportional to 94,718.25 and 209,200.50

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Solution

The third proportional to 94,718.25 and 209,200.50 is: 462,052.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,718.25 : 209,200.50 = 209,200.50 : x
  2. Step 2: Convert to fraction form
    94,718.25/209,200.50 = 209,200.50/x
  3. Step 3: Cross multiply
    94,718.25x = 209,200.50 × 209,200.50
  4. Step 4: Simplify right side
    94,718.25x = 43,764,849,200.25
  5. Step 5: Solve for x
    x = 43,764,849,200.25/94,718.25
  6. Step 6: Final answer
    x = 462,052.98

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.