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Finding the Third Proportional to 47,065.50 and 101,522.25

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Solution

The third proportional to 47,065.50 and 101,522.25 is: 218,987.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,065.50 : 101,522.25 = 101,522.25 : x
  2. Step 2: Convert to fraction form
    47,065.50/101,522.25 = 101,522.25/x
  3. Step 3: Cross multiply
    47,065.50x = 101,522.25 × 101,522.25
  4. Step 4: Simplify right side
    47,065.50x = 10,306,767,245.06
  5. Step 5: Solve for x
    x = 10,306,767,245.06/47,065.50
  6. Step 6: Final answer
    x = 218,987.74

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.