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Finding the Third Proportional to 91,050 and 198,704

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Solution

The third proportional to 91,050 and 198,704 is: 433,643.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,050 : 198,704 = 198,704 : x
  2. Step 2: Convert to fraction form
    91,050/198,704 = 198,704/x
  3. Step 3: Cross multiply
    91,050x = 198,704 × 198,704
  4. Step 4: Simplify right side
    91,050x = 39,483,279,616
  5. Step 5: Solve for x
    x = 39,483,279,616/91,050
  6. Step 6: Final answer
    x = 433,643.93

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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.