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Finding the Third Proportional to 91,035.77 and 200,138.98

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Solution

The third proportional to 91,035.77 and 200,138.98 is: 439,998.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,035.77 : 200,138.98 = 200,138.98 : x
  2. Step 2: Convert to fraction form
    91,035.77/200,138.98 = 200,138.98/x
  3. Step 3: Cross multiply
    91,035.77x = 200,138.98 × 200,138.98
  4. Step 4: Simplify right side
    91,035.77x = 40,055,609,939.48
  5. Step 5: Solve for x
    x = 40,055,609,939.48/91,035.77
  6. Step 6: Final answer
    x = 439,998.57

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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.