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Finding the Third Proportional to 138,421.72 and 216,858.99

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Solution

The third proportional to 138,421.72 and 216,858.99 is: 339,743.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,421.72 : 216,858.99 = 216,858.99 : x
  2. Step 2: Convert to fraction form
    138,421.72/216,858.99 = 216,858.99/x
  3. Step 3: Cross multiply
    138,421.72x = 216,858.99 × 216,858.99
  4. Step 4: Simplify right side
    138,421.72x = 47,027,821,645.47
  5. Step 5: Solve for x
    x = 47,027,821,645.47/138,421.72
  6. Step 6: Final answer
    x = 339,743.07

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.