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Finding the Third Proportional to 103,950.84 and 191,704.22

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Solution

The third proportional to 103,950.84 and 191,704.22 is: 353,537.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,950.84 : 191,704.22 = 191,704.22 : x
  2. Step 2: Convert to fraction form
    103,950.84/191,704.22 = 191,704.22/x
  3. Step 3: Cross multiply
    103,950.84x = 191,704.22 × 191,704.22
  4. Step 4: Simplify right side
    103,950.84x = 36,750,507,486.55
  5. Step 5: Solve for x
    x = 36,750,507,486.55/103,950.84
  6. Step 6: Final answer
    x = 353,537.37

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.