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Finding the Third Proportional to 94,489.59 and 205,586.16

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Solution

The third proportional to 94,489.59 and 205,586.16 is: 447,305.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,489.59 : 205,586.16 = 205,586.16 : x
  2. Step 2: Convert to fraction form
    94,489.59/205,586.16 = 205,586.16/x
  3. Step 3: Cross multiply
    94,489.59x = 205,586.16 × 205,586.16
  4. Step 4: Simplify right side
    94,489.59x = 42,265,667,641.65
  5. Step 5: Solve for x
    x = 42,265,667,641.65/94,489.59
  6. Step 6: Final answer
    x = 447,305.00

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.