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Finding the Third Proportional to 138,166.13 and 202,716.56

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Solution

The third proportional to 138,166.13 and 202,716.56 is: 297,424.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,166.13 : 202,716.56 = 202,716.56 : x
  2. Step 2: Convert to fraction form
    138,166.13/202,716.56 = 202,716.56/x
  3. Step 3: Cross multiply
    138,166.13x = 202,716.56 × 202,716.56
  4. Step 4: Simplify right side
    138,166.13x = 41,094,004,711.82
  5. Step 5: Solve for x
    x = 41,094,004,711.82/138,166.13
  6. Step 6: Final answer
    x = 297,424.60

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.