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Finding the Third Proportional to 91,343 and 199,243

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Solution

The third proportional to 91,343 and 199,243 is: 434,601.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,343 : 199,243 = 199,243 : x
  2. Step 2: Convert to fraction form
    91,343/199,243 = 199,243/x
  3. Step 3: Cross multiply
    91,343x = 199,243 × 199,243
  4. Step 4: Simplify right side
    91,343x = 39,697,773,049
  5. Step 5: Solve for x
    x = 39,697,773,049/91,343
  6. Step 6: Final answer
    x = 434,601.15

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Why These Related Problems?

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