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Finding the Third Proportional to 91,101 and 199,752

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Solution

The third proportional to 91,101 and 199,752 is: 437,984.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,101 : 199,752 = 199,752 : x
  2. Step 2: Convert to fraction form
    91,101/199,752 = 199,752/x
  3. Step 3: Cross multiply
    91,101x = 199,752 × 199,752
  4. Step 4: Simplify right side
    91,101x = 39,900,861,504
  5. Step 5: Solve for x
    x = 39,900,861,504/91,101
  6. Step 6: Final answer
    x = 437,984.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.