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Finding the Third Proportional to 94,245.19 and 205,426.13

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Solution

The third proportional to 94,245.19 and 205,426.13 is: 447,767.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,245.19 : 205,426.13 = 205,426.13 : x
  2. Step 2: Convert to fraction form
    94,245.19/205,426.13 = 205,426.13/x
  3. Step 3: Cross multiply
    94,245.19x = 205,426.13 × 205,426.13
  4. Step 4: Simplify right side
    94,245.19x = 42,199,892,832.52
  5. Step 5: Solve for x
    x = 42,199,892,832.52/94,245.19
  6. Step 6: Final answer
    x = 447,767.08

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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.