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Finding the Third Proportional to 94,962 and 200,596.50

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Solution

The third proportional to 94,962 and 200,596.50 is: 423,737.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,962 : 200,596.50 = 200,596.50 : x
  2. Step 2: Convert to fraction form
    94,962/200,596.50 = 200,596.50/x
  3. Step 3: Cross multiply
    94,962x = 200,596.50 × 200,596.50
  4. Step 4: Simplify right side
    94,962x = 40,238,955,812.25
  5. Step 5: Solve for x
    x = 40,238,955,812.25/94,962
  6. Step 6: Final answer
    x = 423,737.45

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.