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Finding the Third Proportional to 94,641.75 and 192,064.50

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Solution

The third proportional to 94,641.75 and 192,064.50 is: 389,772.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,641.75 : 192,064.50 = 192,064.50 : x
  2. Step 2: Convert to fraction form
    94,641.75/192,064.50 = 192,064.50/x
  3. Step 3: Cross multiply
    94,641.75x = 192,064.50 × 192,064.50
  4. Step 4: Simplify right side
    94,641.75x = 36,888,772,160.25
  5. Step 5: Solve for x
    x = 36,888,772,160.25/94,641.75
  6. Step 6: Final answer
    x = 389,772.72

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.