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Finding the Third Proportional to 91,038 and 200,143

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Solution

The third proportional to 91,038 and 200,143 is: 440,005.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,038 : 200,143 = 200,143 : x
  2. Step 2: Convert to fraction form
    91,038/200,143 = 200,143/x
  3. Step 3: Cross multiply
    91,038x = 200,143 × 200,143
  4. Step 4: Simplify right side
    91,038x = 40,057,220,449
  5. Step 5: Solve for x
    x = 40,057,220,449/91,038
  6. Step 6: Final answer
    x = 440,005.50

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.