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Finding the Third Proportional to 91,453 and 199,664

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Solution

The third proportional to 91,453 and 199,664 is: 435,914.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,453 : 199,664 = 199,664 : x
  2. Step 2: Convert to fraction form
    91,453/199,664 = 199,664/x
  3. Step 3: Cross multiply
    91,453x = 199,664 × 199,664
  4. Step 4: Simplify right side
    91,453x = 39,865,712,896
  5. Step 5: Solve for x
    x = 39,865,712,896/91,453
  6. Step 6: Final answer
    x = 435,914.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.