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Finding the Third Proportional to 91,497.50 and 194,658.50

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Solution

The third proportional to 91,497.50 and 194,658.50 is: 414,130.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,497.50 : 194,658.50 = 194,658.50 : x
  2. Step 2: Convert to fraction form
    91,497.50/194,658.50 = 194,658.50/x
  3. Step 3: Cross multiply
    91,497.50x = 194,658.50 × 194,658.50
  4. Step 4: Simplify right side
    91,497.50x = 37,891,931,622.25
  5. Step 5: Solve for x
    x = 37,891,931,622.25/91,497.50
  6. Step 6: Final answer
    x = 414,130.79

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.