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Finding the Third Proportional to 91,514 and 200,524

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Solution

The third proportional to 91,514 and 200,524 is: 439,384.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,514 : 200,524 = 200,524 : x
  2. Step 2: Convert to fraction form
    91,514/200,524 = 200,524/x
  3. Step 3: Cross multiply
    91,514x = 200,524 × 200,524
  4. Step 4: Simplify right side
    91,514x = 40,209,874,576
  5. Step 5: Solve for x
    x = 40,209,874,576/91,514
  6. Step 6: Final answer
    x = 439,384.95

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