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Finding the Third Proportional to 91,816 and 201,104

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Solution

The third proportional to 91,816 and 201,104 is: 440,476.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,816 : 201,104 = 201,104 : x
  2. Step 2: Convert to fraction form
    91,816/201,104 = 201,104/x
  3. Step 3: Cross multiply
    91,816x = 201,104 × 201,104
  4. Step 4: Simplify right side
    91,816x = 40,442,818,816
  5. Step 5: Solve for x
    x = 40,442,818,816/91,816
  6. Step 6: Final answer
    x = 440,476.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.