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Finding the Third Proportional to 91,446.56 and 187,130.44

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Solution

The third proportional to 91,446.56 and 187,130.44 is: 382,931.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,446.56 : 187,130.44 = 187,130.44 : x
  2. Step 2: Convert to fraction form
    91,446.56/187,130.44 = 187,130.44/x
  3. Step 3: Cross multiply
    91,446.56x = 187,130.44 × 187,130.44
  4. Step 4: Simplify right side
    91,446.56x = 35,017,800,638.94
  5. Step 5: Solve for x
    x = 35,017,800,638.94/91,446.56
  6. Step 6: Final answer
    x = 382,931.84

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.