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Finding the Third Proportional to 97,522.88 and 202,777.88

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Solution

The third proportional to 97,522.88 and 202,777.88 is: 421,633.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,522.88 : 202,777.88 = 202,777.88 : x
  2. Step 2: Convert to fraction form
    97,522.88/202,777.88 = 202,777.88/x
  3. Step 3: Cross multiply
    97,522.88x = 202,777.88 × 202,777.88
  4. Step 4: Simplify right side
    97,522.88x = 41,118,866,589.52
  5. Step 5: Solve for x
    x = 41,118,866,589.52/97,522.88
  6. Step 6: Final answer
    x = 421,633.04

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.