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Finding the Third Proportional to 91,306 and 195,500

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Solution

The third proportional to 91,306 and 195,500 is: 418,595.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,306 : 195,500 = 195,500 : x
  2. Step 2: Convert to fraction form
    91,306/195,500 = 195,500/x
  3. Step 3: Cross multiply
    91,306x = 195,500 × 195,500
  4. Step 4: Simplify right side
    91,306x = 38,220,250,000
  5. Step 5: Solve for x
    x = 38,220,250,000/91,306
  6. Step 6: Final answer
    x = 418,595.16

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.