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Finding the Third Proportional to 91,834.75 and 141,846.44

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Solution

The third proportional to 91,834.75 and 141,846.44 is: 219,093.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,834.75 : 141,846.44 = 141,846.44 : x
  2. Step 2: Convert to fraction form
    91,834.75/141,846.44 = 141,846.44/x
  3. Step 3: Cross multiply
    91,834.75x = 141,846.44 × 141,846.44
  4. Step 4: Simplify right side
    91,834.75x = 20,120,411,831.44
  5. Step 5: Solve for x
    x = 20,120,411,831.44/91,834.75
  6. Step 6: Final answer
    x = 219,093.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.