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Finding the Third Proportional to 44,129.81 and 97,167.09

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Solution

The third proportional to 44,129.81 and 97,167.09 is: 213,947.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,129.81 : 97,167.09 = 97,167.09 : x
  2. Step 2: Convert to fraction form
    44,129.81/97,167.09 = 97,167.09/x
  3. Step 3: Cross multiply
    44,129.81x = 97,167.09 × 97,167.09
  4. Step 4: Simplify right side
    44,129.81x = 9,441,444,107.82
  5. Step 5: Solve for x
    x = 9,441,444,107.82/44,129.81
  6. Step 6: Final answer
    x = 213,947.07

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.