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Finding the Third Proportional to 94,737.25 and 205,409.28

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Solution

The third proportional to 94,737.25 and 205,409.28 is: 445,368.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,737.25 : 205,409.28 = 205,409.28 : x
  2. Step 2: Convert to fraction form
    94,737.25/205,409.28 = 205,409.28/x
  3. Step 3: Cross multiply
    94,737.25x = 205,409.28 × 205,409.28
  4. Step 4: Simplify right side
    94,737.25x = 42,192,970,817.69
  5. Step 5: Solve for x
    x = 42,192,970,817.69/94,737.25
  6. Step 6: Final answer
    x = 445,368.32

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.