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Finding the Third Proportional to 90,527 and 198,883

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Solution

The third proportional to 90,527 and 198,883 is: 436,935.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,527 : 198,883 = 198,883 : x
  2. Step 2: Convert to fraction form
    90,527/198,883 = 198,883/x
  3. Step 3: Cross multiply
    90,527x = 198,883 × 198,883
  4. Step 4: Simplify right side
    90,527x = 39,554,447,689
  5. Step 5: Solve for x
    x = 39,554,447,689/90,527
  6. Step 6: Final answer
    x = 436,935.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.