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Finding the Third Proportional to 109,476.38 and 164,700.56

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Solution

The third proportional to 109,476.38 and 164,700.56 is: 247,782.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,476.38 : 164,700.56 = 164,700.56 : x
  2. Step 2: Convert to fraction form
    109,476.38/164,700.56 = 164,700.56/x
  3. Step 3: Cross multiply
    109,476.38x = 164,700.56 × 164,700.56
  4. Step 4: Simplify right side
    109,476.38x = 27,126,275,287.82
  5. Step 5: Solve for x
    x = 27,126,275,287.82/109,476.38
  6. Step 6: Final answer
    x = 247,782.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.