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Finding the Third Proportional to 47,533.08 and 101,125.97

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Solution

The third proportional to 47,533.08 and 101,125.97 is: 215,144.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,533.08 : 101,125.97 = 101,125.97 : x
  2. Step 2: Convert to fraction form
    47,533.08/101,125.97 = 101,125.97/x
  3. Step 3: Cross multiply
    47,533.08x = 101,125.97 × 101,125.97
  4. Step 4: Simplify right side
    47,533.08x = 10,226,461,555.63
  5. Step 5: Solve for x
    x = 10,226,461,555.63/47,533.08
  6. Step 6: Final answer
    x = 215,144.11

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.