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Finding the Third Proportional to 91,830 and 200,508

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Solution

The third proportional to 91,830 and 200,508 is: 437,803.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,830 : 200,508 = 200,508 : x
  2. Step 2: Convert to fraction form
    91,830/200,508 = 200,508/x
  3. Step 3: Cross multiply
    91,830x = 200,508 × 200,508
  4. Step 4: Simplify right side
    91,830x = 40,203,458,064
  5. Step 5: Solve for x
    x = 40,203,458,064/91,830
  6. Step 6: Final answer
    x = 437,803.09

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.