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Finding the Third Proportional to 138,036.66 and 202,505.06

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Solution

The third proportional to 138,036.66 and 202,505.06 is: 297,082.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,036.66 : 202,505.06 = 202,505.06 : x
  2. Step 2: Convert to fraction form
    138,036.66/202,505.06 = 202,505.06/x
  3. Step 3: Cross multiply
    138,036.66x = 202,505.06 × 202,505.06
  4. Step 4: Simplify right side
    138,036.66x = 41,008,300,338.13
  5. Step 5: Solve for x
    x = 41,008,300,338.13/138,036.66
  6. Step 6: Final answer
    x = 297,082.68

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