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Finding the Third Proportional to 91,389 and 200,432

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Solution

The third proportional to 91,389 and 200,432 is: 439,582.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,389 : 200,432 = 200,432 : x
  2. Step 2: Convert to fraction form
    91,389/200,432 = 200,432/x
  3. Step 3: Cross multiply
    91,389x = 200,432 × 200,432
  4. Step 4: Simplify right side
    91,389x = 40,172,986,624
  5. Step 5: Solve for x
    x = 40,172,986,624/91,389
  6. Step 6: Final answer
    x = 439,582.30

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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.