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Finding the Third Proportional to 47,881.88 and 97,131.75

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Solution

The third proportional to 47,881.88 and 97,131.75 is: 197,038.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,881.88 : 97,131.75 = 97,131.75 : x
  2. Step 2: Convert to fraction form
    47,881.88/97,131.75 = 97,131.75/x
  3. Step 3: Cross multiply
    47,881.88x = 97,131.75 × 97,131.75
  4. Step 4: Simplify right side
    47,881.88x = 9,434,576,858.06
  5. Step 5: Solve for x
    x = 9,434,576,858.06/47,881.88
  6. Step 6: Final answer
    x = 197,038.58

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.