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Finding the Third Proportional to 91,647.28 and 191,674.69

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Solution

The third proportional to 91,647.28 and 191,674.69 is: 400,875.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,647.28 : 191,674.69 = 191,674.69 : x
  2. Step 2: Convert to fraction form
    91,647.28/191,674.69 = 191,674.69/x
  3. Step 3: Cross multiply
    91,647.28x = 191,674.69 × 191,674.69
  4. Step 4: Simplify right side
    91,647.28x = 36,739,185,828.22
  5. Step 5: Solve for x
    x = 36,739,185,828.22/91,647.28
  6. Step 6: Final answer
    x = 400,875.89

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.