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Finding the Third Proportional to 90,952.72 and 212,438.00

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Solution

The third proportional to 90,952.72 and 212,438.00 is: 496,190.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,952.72 : 212,438.00 = 212,438.00 : x
  2. Step 2: Convert to fraction form
    90,952.72/212,438.00 = 212,438.00/x
  3. Step 3: Cross multiply
    90,952.72x = 212,438.00 × 212,438.00
  4. Step 4: Simplify right side
    90,952.72x = 45,129,905,503.67
  5. Step 5: Solve for x
    x = 45,129,905,503.67/90,952.72
  6. Step 6: Final answer
    x = 496,190.85

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.