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Finding the Third Proportional to 91,700 and 200,895

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Solution

The third proportional to 91,700 and 200,895 is: 440,117.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,700 : 200,895 = 200,895 : x
  2. Step 2: Convert to fraction form
    91,700/200,895 = 200,895/x
  3. Step 3: Cross multiply
    91,700x = 200,895 × 200,895
  4. Step 4: Simplify right side
    91,700x = 40,358,801,025
  5. Step 5: Solve for x
    x = 40,358,801,025/91,700
  6. Step 6: Final answer
    x = 440,117.79

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