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Finding the Third Proportional to 91,173.38 and 138,018.38

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Solution

The third proportional to 91,173.38 and 138,018.38 is: 208,932.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,173.38 : 138,018.38 = 138,018.38 : x
  2. Step 2: Convert to fraction form
    91,173.38/138,018.38 = 138,018.38/x
  3. Step 3: Cross multiply
    91,173.38x = 138,018.38 × 138,018.38
  4. Step 4: Simplify right side
    91,173.38x = 19,049,071,837.64
  5. Step 5: Solve for x
    x = 19,049,071,837.64/91,173.38
  6. Step 6: Final answer
    x = 208,932.40

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.