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Finding the Third Proportional to 91,756.13 and 202,138.88

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Solution

The third proportional to 91,756.13 and 202,138.88 is: 445,312.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,756.13 : 202,138.88 = 202,138.88 : x
  2. Step 2: Convert to fraction form
    91,756.13/202,138.88 = 202,138.88/x
  3. Step 3: Cross multiply
    91,756.13x = 202,138.88 × 202,138.88
  4. Step 4: Simplify right side
    91,756.13x = 40,860,124,786.27
  5. Step 5: Solve for x
    x = 40,860,124,786.27/91,756.13
  6. Step 6: Final answer
    x = 445,312.23

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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.