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Finding the Third Proportional to 47,129.06 and 97,538.63

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Solution

The third proportional to 47,129.06 and 97,538.63 is: 201,866.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,129.06 : 97,538.63 = 97,538.63 : x
  2. Step 2: Convert to fraction form
    47,129.06/97,538.63 = 97,538.63/x
  3. Step 3: Cross multiply
    47,129.06x = 97,538.63 × 97,538.63
  4. Step 4: Simplify right side
    47,129.06x = 9,513,783,366.89
  5. Step 5: Solve for x
    x = 9,513,783,366.89/47,129.06
  6. Step 6: Final answer
    x = 201,866.59

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.