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Finding the Third Proportional to 91,489.50 and 192,957.19

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Solution

The third proportional to 91,489.50 and 192,957.19 is: 406,959.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,489.50 : 192,957.19 = 192,957.19 : x
  2. Step 2: Convert to fraction form
    91,489.50/192,957.19 = 192,957.19/x
  3. Step 3: Cross multiply
    91,489.50x = 192,957.19 × 192,957.19
  4. Step 4: Simplify right side
    91,489.50x = 37,232,476,207.91
  5. Step 5: Solve for x
    x = 37,232,476,207.91/91,489.50
  6. Step 6: Final answer
    x = 406,959.01

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Why These Related Problems?

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