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Finding the Third Proportional to 91,389 and 200,433

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Solution

The third proportional to 91,389 and 200,433 is: 439,586.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,389 : 200,433 = 200,433 : x
  2. Step 2: Convert to fraction form
    91,389/200,433 = 200,433/x
  3. Step 3: Cross multiply
    91,389x = 200,433 × 200,433
  4. Step 4: Simplify right side
    91,389x = 40,173,387,489
  5. Step 5: Solve for x
    x = 40,173,387,489/91,389
  6. Step 6: Final answer
    x = 439,586.68

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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.