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Finding the Third Proportional to 91,984 and 201,184

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Solution

The third proportional to 91,984 and 201,184 is: 440,022.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,984 : 201,184 = 201,184 : x
  2. Step 2: Convert to fraction form
    91,984/201,184 = 201,184/x
  3. Step 3: Cross multiply
    91,984x = 201,184 × 201,184
  4. Step 4: Simplify right side
    91,984x = 40,475,001,856
  5. Step 5: Solve for x
    x = 40,475,001,856/91,984
  6. Step 6: Final answer
    x = 440,022.20

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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.