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Finding the Third Proportional to 91,391 and 200,436

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Solution

The third proportional to 91,391 and 200,436 is: 439,590.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,391 : 200,436 = 200,436 : x
  2. Step 2: Convert to fraction form
    91,391/200,436 = 200,436/x
  3. Step 3: Cross multiply
    91,391x = 200,436 × 200,436
  4. Step 4: Simplify right side
    91,391x = 40,174,590,096
  5. Step 5: Solve for x
    x = 40,174,590,096/91,391
  6. Step 6: Final answer
    x = 439,590.22

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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.