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Finding the Third Proportional to 47,362.22 and 101,741.06

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Solution

The third proportional to 47,362.22 and 101,741.06 is: 218,554.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,362.22 : 101,741.06 = 101,741.06 : x
  2. Step 2: Convert to fraction form
    47,362.22/101,741.06 = 101,741.06/x
  3. Step 3: Cross multiply
    47,362.22x = 101,741.06 × 101,741.06
  4. Step 4: Simplify right side
    47,362.22x = 10,351,243,798.63
  5. Step 5: Solve for x
    x = 10,351,243,798.63/47,362.22
  6. Step 6: Final answer
    x = 218,554.88

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.