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Finding the Third Proportional to 47,031.47 and 101,410.31

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Solution

The third proportional to 47,031.47 and 101,410.31 is: 218,663.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,031.47 : 101,410.31 = 101,410.31 : x
  2. Step 2: Convert to fraction form
    47,031.47/101,410.31 = 101,410.31/x
  3. Step 3: Cross multiply
    47,031.47x = 101,410.31 × 101,410.31
  4. Step 4: Simplify right side
    47,031.47x = 10,284,051,481.35
  5. Step 5: Solve for x
    x = 10,284,051,481.35/47,031.47
  6. Step 6: Final answer
    x = 218,663.20

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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.